AnswersAG Q1 Keystone Algebra 1 Block 26-27 DDiamondRaising a Power to a Power

Raising a Power to a Power Answers

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The simplified form of an expression is . Which expression was simplified?

Question illustration
A
(256 t Superscript negative 7 Baseline) Superscript 4
Option A
B
(4 t Superscript 28 Baseline) Superscript negative 4
Option B
C
(256 t Superscript negative 7 Baseline) Superscript negative 4
Option C
D
(4 t Superscript negative 7 Baseline) Superscript negative 4
Option D
2
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Which expression shows the simplified form of ?

Question illustration
A
8 r Superscript 15
Option A
B
StartFraction 8 Over r Superscript 15 Baseline EndFraction
Option B
C
512 r Superscript 15
Option C
D
StartFraction r Superscript 15 Baseline Over 512 EndFraction
Option D
3

The volume of a cube is cubic units. What is the length of one side of the cube?

Question illustration
A
units
Option A
B
units
Option B
C
units
Option C
D
units
Option D
4

Which equation finds the area of a square with a side length of units?

Question illustration
A
square units
Option A
B
square units
Option B
C
square units
Option C
D
square units
Option D
5

Which applies the power of a power rule to simplify the expression ?

Question illustration
A
(8 Superscript 12 Baseline) cubed = 8 Superscript 12 + 3 Baseline = 8 Superscript 15
Option A
B
(8 Superscript 12 Baseline) cubed = 8 Superscript 12 times 3 Baseline = 8 Superscript 36
Option B
C
(8 Superscript 12 Baseline) cubed = 8 Superscript 12 divided by 3 Baseline = 8 Superscript 4
Option C
D
(8 Superscript 12 Baseline) cubed = 8 Superscript 12 minus 3 Baseline = 8 Superscript 9
Option D
6

Which expression is equivalent to ?

Question illustration
A
q cubed
Option A
B
q Superscript 8
Option B
C
q Superscript 12
Option C
D
q Superscript 36
Option D
7

Which expression can be simplified as ?

Question illustration
A
(n squared) Superscript 9
Option A
B
(n Superscript negative 9 Baseline) Superscript negative 2
Option B
C
(n Superscript negative 6 Baseline) Superscript negative 3
Option C
D
(n Superscript negative 3) Superscript 6
Option D
8

Which expression is equivalent to ?

Question illustration
A
r Superscript 42
Option A
B
StartFraction 1 Over r Superscript 42 Baseline EndFraction
Option B
C
Negative 7 r Superscript 6
Option C
D
StartFraction 1 Over r EndFraction
Option D
9

Which applies the power of a product rule to simplify ?

Question illustration
A
(5 t) cubed = 5 t cubed
Option A
B
(5 t) cubed = 3 (5 t) = 15 t
Option B
C
(5 t) cubed = 5 cubed t cubed = 125 t cubed
Option C
D
(5 t) cubed = 5 cubed t = 125 t
Option D
10

Which expressions are equivalent to ? Check all that apply.

Question illustration
A
(6 Superscript 0 Baseline) Superscript 16
Option A
B
(6 Superscript 8 Baseline) Superscript 8
Option B
C
(6 Superscript negative 4 Baseline) Superscript negative 4
Option C
D
(6 Superscript negative 2 Baseline) Superscript negative 8
Option D
E
(6 Superscript negative 1 Baseline) Superscript 16
Option E
F
(6 Superscript 8 Baseline) squared
Option F

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