pretest chapter 4. leave your answer in exponent form. 1.(3 6 )(3 4 ) 3 6 + 4 3 10 product rule
TRANSCRIPT
![Page 1: PreTest Chapter 4. Leave your answer in exponent form. 1.(3 6 )(3 4 ) 3 6 + 4 3 10 Product Rule](https://reader036.vdocuments.net/reader036/viewer/2022062407/56649db25503460f94aa15fd/html5/thumbnails/1.jpg)
PreTest
Chapter 4
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Leave your answer in exponent form.
1. (36)(34)
36 + 4
310
Product Rule.
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214 – 6
28
2. 26
214
Leave your answer in exponent form.
Quotient Rule.
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3. (23)5
23 • 5
215
Leave your answer in exponent form.
Power Rules.
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Simplify. Use positive exponents.
4. (
-10
-2xy3 5)( x3 y5)
y8x4
Multiply.
Product Rule.
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5.12-20
3-5y
x5
Simplify. Use positive exponents.
x7y4
x12y3
Simplify.
Quotient Rules.
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6.
9x6 y10
Simplify. Use positive exponents.
(-3x3y5 2)
Power Rules.
Evaluate.
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( )5
7.3
5
or
55 x15 y10
35 z25
3125 x15 y10
243 z25
Simplify. Use positive exponents.
x3y2
z5
Evaluate.
Power Rules.
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8.10
15
32 x7
Simplify. Use positive exponents.
Quotient Rules.
Simplify.
x12
x5
y10
y10
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9. 3-3
33
1
271
Simplify. Use positive exponents.
Evaluate.
Negative exponents.
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10.
7x3 y4
z
Simplify. Use positive exponents.
7x-3y-4z
Negative exponents.
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3x3 y2
z5
11.z-5
3
Simplify. Use positive exponents.y-2x-3
Negative exponents.
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12. Write in scientific notation.
104,000,000
104000000.
x 1081.04
Count the number of places to move.Positive 8 is the exponent.
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13. Write in decimal notation.
1.9 x 10-3
19.
0.0019
000
The exponent is negative 3.Move the decimal point left 3 places.
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14. Multiply and write in scientific notation:
)3.8(
24.32 x 109
(6.4 x 103) x 106
Use the product rule.Multiply the numbers.
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14. Multiply and write in scientific notation:
)3.8(
24.32 x 109
(6.4 x 103) x 106
Use the product rule.
Write in scientific notation.
2.432 x x 109
2.432 x 1010
101
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15. Add.
(4x2 – 5x + 2) + (6x2 – 7x – 5)
4x2
10x2 – 12x – 3
+ 6x2 – 7x – 5– 5x + 2
Remove both parentheses. Distribute + 1 to each term in the second parentheses.Combine like terms.
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16. Subtract.
(2x2 – x + 3)
2x2
-2x2
– 4x2
– 6x + 6
– 5x + 3
Remove both parentheses. Distribute – 1 to each term in the second parentheses.Combine like terms.
– x + 3
– (4x2 + 5x – 3 )
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17. Multiply.
(x3-3 x3 + 2x2 )
-9x6 – 6x5
– 5
+ 15x3
Distribute.
3
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18. Multiply.
-3
-15x4 + 18x3 – 15x2y5 y6 y2
x2y2( x2 – 6xy4 )+ 5
Distribute.
5 y3
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19. Multiply.
(
24x2 – 6xy – 2y2+ 8xy
24x2
FirstOuterInnerLast
+ 2xy – 2y2
Use FOIL to multiply.
Combine like terms.
4x – y)(6x + 2y)
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20. Multiply.
(4x)2 – (5)2
16x2 – 25
(4x – 5)(4x + 5)
Special Case (a + b)(a – b) = a2 – b2
Square the first term.
Subtract the square of the second term.
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21. Multiply.
(2x)2 – 2(2x)(3y)
4x2
(2x – 3y)2
Special Case (a – b)2 = a2 – 2ab + b2
Square the first term.
Subtract 2 times the first and second terms.
Add the square of the second term.
+ (-3y)2
– 12xy + 9y2
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22. Multiply.
LastFirst(
4x5 + 10x4y2 – 20y5– 8xy3
OuterInner
Use FOIL to multiply.
No like terms.
2x + 5y2)(2x4 – 4y3)
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23. Multiply.
( )( )3x
3x3
– 20+ 15x + 8x– 6x2 – 4x23x3
– 4 x2 – 2x + 5
– 10x2 + 23x – 20
Multiply each term.
Combine.
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(16x4 – 24x3 – 4x2) ÷ 4x2
24. Divide.
4 – –
164 –
244 –
44
x2 x6 1
x4
x2 x2
x3
x2
x2
Write as separate fractions.
Simplify each.
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(3x3 – 13x2 + 27x – 20) ÷ (3x – 4) 25. Divide.
–( ) 3x3
–( )
3x )3x3
3x
x2
3x3
-9x2 + 27x
-9x2
3x
– 3x
-9x2
15x – 20
15x3x
+ 5
–( )
15x
x2 – 3x + 5
– 4x2
+ 12x
– 20
– 13x2 + 27x – 20– 4
Divide first terms.
Multiply.
Subtract.
Bring down next term.
Write as long division.
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Chapter 4
Pretest