AnswersKY-Algebra II CRUnit Test

Rational Exponents Answers

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The equation shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If planet Y is twice the mean distance from the sun as planet X, by what factor is the orbital period increased?

Question illustration
A
2 Superscript one-third
Option A
B
2 Superscript one-half
Option B
C
2 Superscript two-thirds
Option C
D
2 Superscript three-halves
Option D
2
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Which expression is equivalent to ?

Question illustration
A
x Superscript five-thirds Baseline y
Option A
B
s Superscript five-thirds Baseline y Superscript one-third
Option B
C
x Superscript three-fifths Baseline y
Option C
D
x Superscript three-fifths Baseline y cubed
Option D
3

Which of the following is equivalent to ?

Question illustration
A
StartFraction 60 Over 2 EndFraction
Option A
B
StartRoot 60 EndRoot
Option B
C
StartFraction 1 Over 60 squared EndFraction
Option C
D
StartFraction 1 Over StartRoot 60 EndRoot EndFraction
Option D
4

Which expression is equivalent to ?

Question illustration
A
StartFraction 1 Over RootIndex 5 StartRoot x cubed EndRoot EndFraction
Option A
B
StartFraction 1 Over RootIndex 3 StartRoot x Superscript 5 Baseline EndRoot EndFraction
Option B
C
Negative RootIndex 3 StartRoot x Superscript 5 Baseline EndRoot
Option C
D
Negative RootIndex 5 StartRoot x cubed EndRoot
Option D
5

Which of the following is equivalent to ?

Question illustration
A
132
B
1315
C
13 Superscript five-thirds
Option C
D
13 Superscript three-fifths
Option D
6

Which expression is equivalent to ?

Question illustration
A
4x2
B
4x4
C
64x2
D
64x4
7

Which expression is equivalent to ?

Question illustration
A
StartRoot x y Superscript 9 Baseline EndRoot
Option A
B
RootIndex 9 StartRoot x y squared EndRoot
Option B
C
x (StartRoot y Superscript 9 EndRoot)
Option C
D
x (RootIndex 9 StartRoot y squared EndRoot)
Option D
8

Which of the following is equivalent to ?

Question illustration
A
6
B
8
C
12
D
64
9

Which expression is equivalent to ?

Question illustration
A
x cubed (RootIndex 3 StartRoot y EndRoot)
Option A
B
x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)
Option B
C
x Superscript 27 Baseline (RootIndex 3 StartRoot y EndRoot)
Option C
D
x Superscript 24 Baseline (RootIndex 3 StartRoot y EndRoot)
Option D
10

Which expression is equivalent to ?

Question illustration
A
StartFraction 1 Over 25 EndFraction
Option A
B
One-tenth
Option B
C
10
D
25

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