AnswersIntegrated Math II FullCompleting the Square

Raising a Power to a Power Answers

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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
2
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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
3

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
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

What is the value of b in the equation ?

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

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
9

What is the value of b in the equation ?

Question illustration
A
–405
B
–5
C
5
D
405
10

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

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