AnswersAISD Algebraic Reasoning B Credit Recovery 2026-2027Unit Test

Evaluating Expressions with Exponents Answers

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1
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Rena used the steps below to evaluate the expression , when .Step 1:Substitute into the expression.Step 2:Simplify the parentheses.Step 3:Evaluate the power to a power.Step 4:Use reciprocals and find the value.In which step did Rena make the first error?

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
2
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Nadine and Calvin are simplifying the expression .Nadine claims the first step to simplify the expression is to raise the numerator and denominator to the power of 4 to get .Calvin claims the first step to simplify the expression is to apply the quotient of powers to get .Who is correct and why?

Question illustration
A
Nadine is incorrect because she should have applied the quotient of powers rule first.
B
Nadine is correct because she correctly applied the power of a product rule.
C
Calvin is incorrect because he should have applied the power of a product rule first.
D
Calvin is correct because he correctly applied the quotient of powers rule.
3

Which rules of exponents will be used to evaluate this expression? Select three options.

Question illustration
A
fractional exponent
B
quotient of powers
C
power of a power
D
power of a product
E
negative exponent
F
zero exponent
4

Which is the simplified form of the expression ?

Question illustration
A
StartFraction 1 Over q Superscript 30 Baseline EndFraction
Option A
B
q Superscript 30
Option B
C
StartFraction p Superscript 12 Baseline Over q Superscript 60 Baseline EndFraction
Option C
D
p Superscript 12 Baseline q Superscript 60
Option D
5

Geoffrey is evaluating the expression as shown below.What are the values of a, b, c, and d?

Question illustration
A
a = 4, b = 2, c = 16, d = 9
Option A
B
a = 4, b = negative 2, c = 16, d = 9
Option B
C
a = 8, b = 8, c = 256, d = 6,561
Option C
D
a = 8, b = 8, c = 256, d = negative 6,561
Option D
6

Which is the value of this expression when and ?

Question illustration
A
–4
B
Negative StartFraction 1 Over 16 EndFraction
Option B
C
StartFraction 1 Over 16 EndFraction
Option C
D
4
7

Which is the simplified form of the expression ?

Question illustration
A
StartFraction 1 Over 4 x squared y Superscript 16 Baseline EndFraction
Option A
B
StartFraction 4 Over x squared y Superscript 16 Baseline EndFraction
Option B
C
StartFraction 1 Over 4 x Superscript 14 y Superscript 8 Baseline EndFraction
Option C
D
StartFraction 4 Over x Superscript 14 Baseline y Superscript 8 Baseline EndFraction
Option D
8

Selena and Drake are evaluating the expression , when .Selena’s WorkDrake’s WorkWho is correct and why?

Question illustration
A
Selena is incorrect because she should have substituted the values for the variables first, and then simplifed.
B
Selena is correct because she simplified correctly and then evaluated correctly after substituting the values for the variables.
C
Drake is incorrect because he should have simplified first, before substituting the values for the variables.
D
Drake is correct because he substituted the values for the variables first, and simplified correctly.
9

Which is the value of this expression when and ?

Question illustration
A
–64
B
Negative one-half
Option B
C
One-half
Option C
D
64
10

Which is the simplified form of the expression ?

Question illustration
A
6 Superscript 30
Option A
B
StartFraction 1 Over 6 Superscript 9 EndFraction
Option B
C
6 Superscript 0
Option C
D
StartFraction 1 Over 6 Superscript 13 Baseline EndFraction
Option D

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