Chapter 4 Review

Radicals/Exponents

Evaluate:1.

2.

3 64___ x ___ x ___ = -64

= -4

4 4976.10 = 1.8

Which of these numbers is irrational?:

68,16

49,216,48 3

Cannot be represented as a fraction. (A non-terminating/ non-repeating decimal)

= 6.92820323 = 6

= 7/4

To which set(s) of numbers does belong to?:

36

I Natural

II Integer

III Rational

IV Irrational

= -6Natural #s are Positive

Irrational #s are non-terminating/ non-repeating decimals

5. Write the following in simplest radical form:

a)80

2 40

2 20

2 10

2 5

3 80

3 522 x 3 102

5. Write the following in simplest radical form

b)

c)2 81

3 27

3 9

3 3

4 162

4 23

2 20

2 10

2 5

40

522 x

102

Arrange these numbers in order from greatest to least.

2.132

133

2

9,9,9,9,9= 4.3267 = 2.08008 = 3 = 27 = 13.9666

,93 ,9 2.1 ,932

,921

3 9

Biologists use the formula to estimate the brain mass, b kilograms, of a mammal with body mass m kilograms. Estimate the brain mass of a mammal with body mass 376kg

3

2

01.0 mb

32

37601.0b

09450271.5201.0b

kgb 52.0

Simplify each of the following (No Calculators!)

a) b) by writing as a single power 32

151264 ba

3

215

3

212

3

2

64 ba

1083

2

64 ba

46 5.35.3

10824 ba

10816 ba

465.3 25.3

Simplify each of the following (No Calculators!)

c) d) 42

133

nm

nm

4142

1313

nm

nm

236

673

3

12

cba

cba

48

33

nm

nm

15 nm

n

m5

4

3a10b 8c

Simplify each of the following (No Calculators!)

e) f) 0723 zyx

070203 zyx

2

1

18

34

4

36

yx

yx

000 zyx

)1)(1)(1(

1

2

11

2

18

2

1

2

13

2

14

2

1

4

36

yx

yx

2

14

2

32

2

6

yx

yx2

423 yx

223 yx 2

23

x

y

Evaluate each of the following

a) b)2

3

16

9

2

3

2

3

16

9

3

4

64

3

3

4

3

64

27

3

4

64

1

44

1

256

1

Evaluate each of the following

c) 3

12

64

27

3

12

64

27 3

2

64

27

3

2

3

2

64

)27(

2

2

4

)3(

2

2

)3(

4

9

16

9

71