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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What is the value of b in the equation ?

Question illustration
A
–20
B
–6
C
6
D
20
2
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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
3

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
4

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
5

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
6

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
7

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
8

What is the value of b in the equation ?

Question illustration
A
–405
B
–5
C
5
D
405
9

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
10

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

Question illustration
A
He should have added the exponents instead of multiplying them.
B
He should have divided the exponents instead of multiplying them.
C
He should have found 8 as the exponent, not –8.
D
He should have written as .
Option D

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