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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1
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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
2
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What is the value of b in the equation ?

Question illustration
A
–20
B
–6
C
6
D
20
3

Raj is simplifying using these steps:Although Raj is correct so far, which step could he have used instead to simplify the expression ?

Question illustration
A
5 Superscript 4 times 3 Baseline = 5 Superscript 12
Option A
B
5 Superscript 4 + 3 Baseline = 5 Superscript 7
Option B
C
4 Superscript 5 times 3 Baseline = 4 Superscript 15
Option C
D
4 Superscript 5 + 3 Baseline = 4 Superscript 8
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

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
6

Which is the simplified form of ?

Question illustration
A
9 c Superscript 27
Option A
B
StartFraction 1 Over 729 EndFraction c Superscript 27
Option B
C
729 c Superscript 27
Option C
D
StartFraction 9 Over c Superscript 27 Baseline EndFraction
Option D
7

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
8

Which equation finds the volume of a cube with a side length of units?

Question illustration
A
cubic units
Option A
B
cubic units
Option B
C
cubic units
Option C
D
cubic units
Option D
9

The area of a square is square units. What is the side length of one side of the square?

Question illustration
A
units
Option A
B
units
Option B
C
units
Option C
D
units
Option D
10

Lauren simplified the expression as shown. Which statement explains Lauren’s error?

Question illustration
A
She should have subtracted the exponents instead of adding them.
B
She should have multiplied the exponents instead of adding them.
C
She should have found –2, not , as the exponent when she added.
Option C
D
She should have written as .
Option D

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