AnswersAlgebra II - MA3111 A-CRNegative Exponents

Negative Exponents Answers

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1
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What is the quotient of ?

Question illustration
A
StartFraction 1 Over 343 EndFraction
Option A
B
One-seventh
Option B
C
7
D
49
2
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Which expression is equivalent to (3a)–2?

A
StartFraction 1 Over 9 a squared EndFraction
Option A
B
StartFraction 1 Over 3 a squared EndFraction
Option B
C
StartFraction 3 Over a squared EndFraction
Option C
D
StartFraction 9 Over a squared EndFraction
Option D
3

Which expression is equivalent to ?

Question illustration
A
-(16)4
B
164
C
RootIndex 4 StartRoot one-sixteenth EndRoot
Option C
D
Negative (one-sixteenth) Superscript negative 4
Option D
4

Which expression is equivalent to 6–3?

A
–63
B
36
C
RootIndex 3 StartRoot 6 EndRoot
Option C
D
(One-sixth) cubed
Option D
5

Describe how to simplify the expression .

Question illustration
A
Divide the bases and then add the exponents.
B
Keep the base the same and then add the exponents.
C
Multiply the bases and then subtract the exponents.
D
Keep the base the same and then subtract the exponents.
6

Which expression is equivalent to (10x)–3?

A
StartFraction 10 Over x cubed EndFraction
Option A
B
StartFraction 1000 Over x cubed EndFraction
Option B
C
StartFraction 1 Over 1000 x cubed EndFraction
Option C
D
StartFraction 1 Over 10 x cubed EndFraction
Option D
7

Which expression is equivalent to ?

Question illustration
A
StartFraction 1 Over 2 Superscript 15 Baseline EndFraction
Option A
B
StartFraction 1 Over 2 Superscript 8 Baseline EndFraction
Option B
C
28
D
215
8

Which expression is equivalent to ?

Question illustration
A
y5
B
y6
C
125y3
D
125y5
9

Which expression is equivalent to 5y–3?

A
StartFraction 1 Over 125 y cubed EndFraction
Option A
B
StartFraction 1 Over 5 y cubed EndFraction
Option B
C
StartFraction 5 Over y cubed EndFraction
Option C
D
StartFraction 125 Over y cubed EndFraction
Option D
10

Anja simplified the expression to . What mistake did Anja make?

Question illustration
A
She divided the exponents instead of subtracting them.
B
She divided the coefficients instead of subtracting them.
C
She subtracted the coefficients instead of dividing them.
D
She subtracted the exponents instead of dividing them.

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