AnswersAdv. Algebra II S2 OriginalRational Exponents

Rational Exponents Answers

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21
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Which expression is equivalent to ?

Question illustration
A
x Superscript two-ninths
Option A
B
x Superscript two-thirds
Option B
C
x Superscript eight-ninths
Option C
D
x Superscript seven-thirds
Option D
22
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Which expression is equivalent to ?

Question illustration
A
–8
B
Negative RootIndex 3 StartRoot 32 Superscript 5 Baseline EndRoot
Option B
C
StartFraction 1 Over RootIndex 3 StartRoot 32 Superscript 5 Baseline EndRoot EndFraction
Option C
D
One-eighth
Option D
23

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
24

Which of the following is equivalent to ?

Question illustration
A
6
B
8
C
12
D
64
25

Which of the following is equivalent to ?

Question illustration
A
6
B
8
C
12
D
64
26

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
27

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
28

Which of the following is equivalent to ?

Question illustration
A
5–4
B
54
C
RootIndex 7 StartRoot 5 cubed EndRoot
Option C
D
RootIndex 3 StartRoot 5 Superscript 7 Baseline EndRoot
Option D
29

Which expression is equivalent to ?

Question illustration
A
StartFraction 1 Over 25 EndFraction
Option A
B
One-tenth
Option B
C
10
D
25
30

Which of the following is equivalent to ?

Question illustration
A
6
B
8
C
12
D
64
31

Which expression is equivalent to ?

Question illustration
A
x Superscript two-ninths
Option A
B
x Superscript two-thirds
Option B
C
x Superscript eight-ninths
Option C
D
x Superscript seven-thirds
Option D
32

Which of the following is equivalent to ?

Question illustration
A
–18
B
–6
C
One-eighteenth
Option C
D
One-sixth
Option D

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