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

Question illustration
A
He should have added the exponents instead of multiplying them.
B
He should have subtracted the exponents instead of multiplying them.
C
He should have applied the exponent –3 to 4, and not to z, to get .
Option C
D
He should also have applied the exponent –3 to 4 to get .
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

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
4

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
5

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
6

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
7

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
8

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
9

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
10

What is the value of b in the equation ?

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

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