6-4 Standardized Test Prep Answers

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Name
Class
Date
Standardized Test Prep
6-4
Rational Exponents
Multiple Choice
For Exercises 1−5, choose the correct letter.
1
1
1
1. What is 123 ? 453 ? 503 in simplest form? B
!27,000
1
1
30
1073
27,000
3
"
(xy)2
3 2
"
xy
2
2. What is x3 ? y3 in simplest form? I
x3"y3
1
"xy3
1
1
3. What is x3 ? x2 ? x4 in simplest form? A
13
1
x 12
1
x 24
4. What is £
1 3≥
2 1
5
x9
x 24
1
x
5
xy 2
y2
6
x3y3
in simplest form? I
x2y4
5
5
x 7y 2
xy 2
5
1
5. What is (232x10 y35)25 in simplest form? C
2
2 2 7
x y
2x2y7
2
1
2x2 y7
2
x2 y7
Short Response
6. The surface area S, in square units, of a sphere with volume V, in cubic units,
1
2
is given by the formula S 5 p 3(6V )3 . What is the surface area of a sphere with
volume 43 mi3? Show your work.
2
[2] S 5
1
2
π 3 (6V) 3
5
1
π3
3
c 6 Q 43 R d
1
2
1
2
5 π 3 (8) 3 5 4π 3 mi
[1] appropriate method but some computational errors
[0] incorrect answer and no work shown OR no answer given
Prentice Hall Algebra 2 • Teaching Resources
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