Grade 7Multiplication and Division

For more such worksheets visit www.edugain.com

Fill in the blanks

(1) Simplif y f ollowing and write answer in exponential f orm

A)85 × 28 × 29 × 88 × 46 ÷ 26 = 2

B)3438 × 497 = 7

C)496 × 3432 × 78 = 7

D)3436 × 496 × 493 × 3434 ÷ 74 = 7

E)499 × 495 × 498 × 496 ÷ 76 = 7

(2) Simplif y f ollowing and write answer in exponential f orm

A)83 × 24 × 26 × 28 × 43 ÷ 23 = 2

B)272 × 99 = 3

(3) Simplif y f ollowing and write answer in exponential f orm

A)3436 × 75 × 494 × 74 × 494 = 7

B)258 × 59 × 1259 × 1255 ÷ 55 = 5

(4) Simplif y f ollowing and write answer in exponential f orm

A)1253 × 57 × 59 × 252 × 254 ÷ 54 = 5

B)252 × 1256 × 254 × 54 × 56 ÷ 56 = 5

(5) Simplif y f ollowing and write answer in exponential f orm

A)496 × 3435 × 76 × 499 = 7

B)494 × 3433 × 76 × 76 = 7

(6) Simplif y f ollowing and write answer in exponential f orm

A)72 × 78 × 3439 × 498 = 7

B)24 × 85 × 29 × 24 × 48 = 2

ID : ae-7-Multiplication-and-Division [1]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(7) Simplif y f ollowing and write answer in exponential f orm

A)275 × 275 × 96 × 99 ÷ 39 = 3

B)3434 × 496 × 3437 ÷ 77 = 7

(8) Simplif y f ollowing and write answer in exponential f orm

A)85 × 27 × 84 × 26 = 2

B)3438 × 3434 × 3432 × 76 × 3433 = 7

(9) Simplif y f ollowing and write answer in exponential f orm

A)1257 × 58 × 55 × 52 = 5

B)37 × 278 × 92 × 96 × 94 = 3

(10) Simplif y f ollowing and write answer in exponential f orm

A)3437 × 73 × 3437 = 7

B)36 × 277 × 276 × 38 = 3

(11) Simplif y f ollowing and write answer in exponential f orm

A)253 × 256 = 5

B)3433 × 493 = 7

© 2016 Edugain (www.edugain.com). All Rights Reserved

Many more such worksheets can begenerated at www.edugain.com

ID : ae-7-Multiplication-and-Division [2]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

Answers

(1) A) 62

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 85 × 28 × 29 × 88 × 46 ÷ 26 can be simplif ied as:

85 × 28 × 29 × 88 × 46 ÷ 26

= (2 × 2 × 2)5 × (2)8 × (2)9 × (2 × 2 × 2)8 × (2 × 2)6 ÷ 26

= (23)5 × (2)8 × (2)9 × (23)8 × (22)6 ÷ 26

= 215 × 28 × 29 × 224 × 212 ÷ 26

= 2(15 + 8 + 9 + 24 + 12 - 6)

= 262

Step 3

Theref ore the value of 85 × 28 × 29 × 88 × 46 ÷ 26 in exponential f orm is 262.

ID : ae-7-Multiplication-and-Division [3]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

B) 38

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 3438 × 497 can be simplif ied as:

3438 × 497

= (7 × 7 × 7)8 × (7 × 7)7

= (73)8 × (72)7

= 724 × 714

= 7 (24 + 14)

= 738

Step 3

Theref ore the value of 3438 × 497 in exponential f orm is 738.

ID : ae-7-Multiplication-and-Division [4]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

C) 26

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 496 × 3432 × 78 can be simplif ied as:

496 × 3432 × 78

= (7 × 7)6 × (7 × 7 × 7)2 × (7)8

= (72)6 × (73)2 × (7)8

= 712 × 76 × 78

= 7 (12 + 6 + 8)

= 726

Step 3

Theref ore the value of 496 × 3432 × 78 in exponential f orm is 726 .

ID : ae-7-Multiplication-and-Division [5]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

D) 44

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 3436 × 496 × 493 × 3434 ÷ 74 can be simplif ied as:

3436 × 496 × 493 × 3434 ÷ 74

= (7 × 7 × 7)6 × (7 × 7)6 × (7 × 7)3 × (7 × 7 × 7)4 ÷ 74

= (73)6 × (72)6 × (72)3 × (73)4 ÷ 74

= 718 × 712 × 76 × 712 ÷ 74

= 7 (18 + 12 + 6 + 12 - 4)

= 744

Step 3

Theref ore the value of 3436 × 496 × 493 × 3434 ÷ 74 in exponential f orm is 744 .

ID : ae-7-Multiplication-and-Division [6]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

E) 50

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 499 × 495 × 498 × 496 ÷ 76 can be simplif ied as:

499 × 495 × 498 × 496 ÷ 76

= (7 × 7)9 × (7 × 7)5 × (7 × 7)8 × (7 × 7)6 ÷ 76

= (72)9 × (72)5 × (72)8 × (72)6 ÷ 76

= 718 × 710 × 716 × 712 ÷ 76

= 7 (18 + 10 + 16 + 12 - 6)

= 750

Step 3

Theref ore the value of 499 × 495 × 498 × 496 ÷ 76 in exponential f orm is 750 .

ID : ae-7-Multiplication-and-Division [7]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(2) A) 30

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 83 × 24 × 26 × 28 × 43 ÷ 23 can be simplif ied as:

83 × 24 × 26 × 28 × 43 ÷ 23

= (2 × 2 × 2)3 × (2)4 × (2)6 × (2)8 × (2 × 2)3 ÷ 23

= (23)3 × (2)4 × (2)6 × (2)8 × (22)3 ÷ 23

= 29 × 24 × 26 × 28 × 26 ÷ 23

= 2(9 + 4 + 6 + 8 + 6 - 3)

= 230

Step 3

Theref ore the value of 83 × 24 × 26 × 28 × 43 ÷ 23 in exponential f orm is 230 .

ID : ae-7-Multiplication-and-Division [8]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

B) 24

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 272 × 99 can be simplif ied as:

272 × 99

= (3 × 3 × 3)2 × (3 × 3)9

= (33)2 × (32)9

= 36 × 318

= 3(6 + 18)

= 324

Step 3

Theref ore the value of 272 × 99 in exponential f orm is 324 .

ID : ae-7-Multiplication-and-Division [9]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(3) A) 43

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 3436 × 75 × 494 × 74 × 494 can be simplif ied as:

3436 × 75 × 494 × 74 × 494

= (7 × 7 × 7)6 × (7)5 × (7 × 7)4 × (7)4 × (7 × 7)4

= (73)6 × (7)5 × (72)4 × (7)4 × (72)4

= 718 × 75 × 78 × 74 × 78

= 7 (18 + 5 + 8 + 4 + 8)

= 743

Step 3

Theref ore the value of 3436 × 75 × 494 × 74 × 494 in exponential f orm is 743.

ID : ae-7-Multiplication-and-Division [10]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

B) 62

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 258 × 59 × 1259 × 1255 ÷ 55 can be simplif ied as:

258 × 59 × 1259 × 1255 ÷ 55

= (5 × 5)8 × (5)9 × (5 × 5 × 5)9 × (5 × 5 × 5)5 ÷ 55

= (52)8 × (5)9 × (53)9 × (53)5 ÷ 55

= 516 × 59 × 527 × 515 ÷ 55

= 5(16 + 9 + 27 + 15 - 5)

= 562

Step 3

Theref ore the value of 258 × 59 × 1259 × 1255 ÷ 55 in exponential f orm is 562.

ID : ae-7-Multiplication-and-Division [11]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(4) A) 33

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 1253 × 57 × 59 × 252 × 254 ÷ 54 can be simplif ied as:

1253 × 57 × 59 × 252 × 254 ÷ 54

= (5 × 5 × 5)3 × (5)7 × (5)9 × (5 × 5)2 × (5 × 5)4 ÷ 54

= (53)3 × (5)7 × (5)9 × (52)2 × (52)4 ÷ 54

= 59 × 57 × 59 × 54 × 58 ÷ 54

= 5(9 + 7 + 9 + 4 + 8 - 4)

= 533

Step 3

Theref ore the value of 1253 × 57 × 59 × 252 × 254 ÷ 54 in exponential f orm is

533.

ID : ae-7-Multiplication-and-Division [12]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

B) 34

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 252 × 1256 × 254 × 54 × 56 ÷ 56 can be simplif ied as:

252 × 1256 × 254 × 54 × 56 ÷ 56

= (5 × 5)2 × (5 × 5 × 5)6 × (5 × 5)4 × (5)4 × (5)6 ÷ 56

= (52)2 × (53)6 × (52)4 × (5)4 × (5)6 ÷ 56

= 54 × 518 × 58 × 54 × 56 ÷ 56

= 5(4 + 18 + 8 + 4 + 6 - 6 )

= 534

Step 3

Theref ore the value of 252 × 1256 × 254 × 54 × 56 ÷ 56 in exponential f orm is

534 .

ID : ae-7-Multiplication-and-Division [13]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(5) A) 51

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 496 × 3435 × 76 × 499 can be simplif ied as:

496 × 3435 × 76 × 499

= (7 × 7)6 × (7 × 7 × 7)5 × (7)6 × (7 × 7)9

= (72)6 × (73)5 × (7)6 × (72)9

= 712 × 715 × 76 × 718

= 7 (12 + 15 + 6 + 18)

= 751

Step 3

Theref ore the value of 496 × 3435 × 76 × 499 in exponential f orm is 751.

ID : ae-7-Multiplication-and-Division [14]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

B) 29

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 494 × 3433 × 76 × 76 can be simplif ied as:

494 × 3433 × 76 × 76

= (7 × 7)4 × (7 × 7 × 7)3 × (7)6 × (7)6

= (72)4 × (73)3 × (7)6 × (7)6

= 78 × 79 × 76 × 76

= 7 (8 + 9 + 6 + 6)

= 729

Step 3

Theref ore the value of 494 × 3433 × 76 × 76 in exponential f orm is 729 .

ID : ae-7-Multiplication-and-Division [15]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(6) A) 53

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 72 × 78 × 3439 × 498 can be simplif ied as:

72 × 78 × 3439 × 498

= (7)2 × (7)8 × (7 × 7 × 7)9 × (7 × 7)8

= (7)2 × (7)8 × (73)9 × (72)8

= 72 × 78 × 727 × 716

= 7 (2 + 8 + 27 + 16)

= 753

Step 3

Theref ore the value of 72 × 78 × 3439 × 498 in exponential f orm is 753.

ID : ae-7-Multiplication-and-Division [16]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

B) 48

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 24 × 85 × 29 × 24 × 48 can be simplif ied as:

24 × 85 × 29 × 24 × 48

= (2)4 × (2 × 2 × 2)5 × (2)9 × (2)4 × (2 × 2)8

= (2)4 × (23)5 × (2)9 × (2)4 × (22)8

= 24 × 215 × 29 × 24 × 216

= 2(4 + 15 + 9 + 4 + 16)

= 248

Step 3

Theref ore the value of 24 × 85 × 29 × 24 × 48 in exponential f orm is 248.

ID : ae-7-Multiplication-and-Division [17]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(7) A) 51

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 275 × 275 × 96 × 99 ÷ 39 can be simplif ied as:

275 × 275 × 96 × 99 ÷ 39

= (3 × 3 × 3)5 × (3 × 3 × 3)5 × (3 × 3)6 × (3 × 3)9 ÷ 39

= (33)5 × (33)5 × (32)6 × (32)9 ÷ 39

= 315 × 315 × 312 × 318 ÷ 39

= 3(15 + 15 + 12 + 18 - 9)

= 351

Step 3

Theref ore the value of 275 × 275 × 96 × 99 ÷ 39 in exponential f orm is 351.

ID : ae-7-Multiplication-and-Division [18]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

B) 38

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 3434 × 496 × 3437 ÷ 77 can be simplif ied as:

3434 × 496 × 3437 ÷ 77

= (7 × 7 × 7)4 × (7 × 7)6 × (7 × 7 × 7)7 ÷ 77

= (73)4 × (72)6 × (73)7 ÷ 77

= 712 × 712 × 721 ÷ 77

= 7 (12 + 12 + 21 - 7)

= 738

Step 3

Theref ore the value of 3434 × 496 × 3437 ÷ 77 in exponential f orm is 738.

ID : ae-7-Multiplication-and-Division [19]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(8) A) 40

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 85 × 27 × 84 × 26 can be simplif ied as:

85 × 27 × 84 × 26

= (2 × 2 × 2)5 × (2)7 × (2 × 2 × 2)4 × (2)6

= (23)5 × (2)7 × (23)4 × (2)6

= 215 × 27 × 212 × 26

= 2(15 + 7 + 12 + 6)

= 240

Step 3

Theref ore the value of 85 × 27 × 84 × 26 in exponential f orm is 240 .

ID : ae-7-Multiplication-and-Division [20]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

B) 57

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 3438 × 3434 × 3432 × 76 × 3433 can be simplif ied as:

3438 × 3434 × 3432 × 76 × 3433

= (7 × 7 × 7)8 × (7 × 7 × 7)4 × (7 × 7 × 7)2 × (7)6 × (7 × 7 × 7)3

= (73)8 × (73)4 × (73)2 × (7)6 × (73)3

= 724 × 712 × 76 × 76 × 79

= 7 (24 + 12 + 6 + 6 + 9)

= 757

Step 3

Theref ore the value of 3438 × 3434 × 3432 × 76 × 3433 in exponential f orm is

757 .

ID : ae-7-Multiplication-and-Division [21]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(9) A) 36

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 1257 × 58 × 55 × 52 can be simplif ied as:

1257 × 58 × 55 × 52

= (5 × 5 × 5)7 × (5)8 × (5)5 × (5)2

= (53)7 × (5)8 × (5)5 × (5)2

= 521 × 58 × 55 × 52

= 5(21 + 8 + 5 + 2)

= 536

Step 3

Theref ore the value of 1257 × 58 × 55 × 52 in exponential f orm is 536 .

ID : ae-7-Multiplication-and-Division [22]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

B) 55

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 37 × 278 × 92 × 96 × 94 can be simplif ied as:

37 × 278 × 92 × 96 × 94

= (3)7 × (3 × 3 × 3)8 × (3 × 3)2 × (3 × 3)6 × (3 × 3)4

= (3)7 × (33)8 × (32)2 × (32)6 × (32)4

= 37 × 324 × 34 × 312 × 38

= 3(7 + 24 + 4 + 12 + 8)

= 355

Step 3

Theref ore the value of 37 × 278 × 92 × 96 × 94 in exponential f orm is 355 .

ID : ae-7-Multiplication-and-Division [23]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(10) A) 45

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 3437 × 73 × 3437 can be simplif ied as:

3437 × 73 × 3437

= (7 × 7 × 7)7 × (7)3 × (7 × 7 × 7)7

= (73)7 × (7)3 × (73)7

= 721 × 73 × 721

= 7 (21 + 3 + 21)

= 745

Step 3

Theref ore the value of 3437 × 73 × 3437 in exponential f orm is 745 .

ID : ae-7-Multiplication-and-Division [24]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

B) 53

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 36 × 277 × 276 × 38 can be simplif ied as:

36 × 277 × 276 × 38

= (3)6 × (3 × 3 × 3)7 × (3 × 3 × 3)6 × (3)8

= (3)6 × (33)7 × (33)6 × (3)8

= 36 × 321 × 318 × 38

= 3(6 + 21 + 18 + 8)

= 353

Step 3

Theref ore the value of 36 × 277 × 276 × 38 in exponential f orm is 353.

ID : ae-7-Multiplication-and-Division [25]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

(11) A) 18

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 253 × 256 can be simplif ied as:

253 × 256

= (5 × 5)3 × (5 × 5)6

= (52)3 × (52)6

= 56 × 512

= 5(6 + 12)

= 518

Step 3

Theref ore the value of 253 × 256 in exponential f orm is 518.

ID : ae-7-Multiplication-and-Division [26]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited

B) 15

Step 1

Rules of the exponent:Rule 1: When you multiply two numbers with the same base, you add theexponents.Rule 2: When you divide two numbers with the same base, you subtract theexponents.Rule 3: When you have an exponent expression that is raised to a power, youcan multiply the exponent and power.

Step 2

First of all you have to simplif y each number with the same base.

Now 3433 × 493 can be simplif ied as:

3433 × 493

= (7 × 7 × 7)3 × (7 × 7)3

= (73)3 × (72)3

= 79 × 76

= 7 (9 + 6)

= 715

Step 3

Theref ore the value of 3433 × 493 in exponential f orm is 715 .

ID : ae-7-Multiplication-and-Division [27]

(C) 2016 Edugain (www.Edugain.com) Personal use only, commercial use is strictly prohibited