AnswersAG Q1 Keystone Algebra 1 Block 26-27 DDiamondRaising a Power to a Power

Evaluating Expressions with Exponents Answers

1 verified answers
1
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Which shows how to find the value of this expression when and ?

Question illustration
A
StartFraction 3 squared (negative 2) Superscript 6 Baseline Over 5 Superscript 4 EndFraction
Option A
B
StartFraction 3 (negative 2) Superscript 6 Baseline Over 5 Superscript 4 EndFraction
Option B
C
StartFraction 3 squared (5 Superscript 6 Baseline) Over (negative 2) Superscript negative 4 Baseline EndFraction
Option C
D
StartFraction 3 Over (2) Superscript 6 Baseline 5 Superscript 4 Baseline EndFraction
Option D
2
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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
3

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.
4

Which is the simplified form of the expression ?

Question illustration
A
StartFraction 1 Over x Superscript 4 Baseline y EndFraction
Option A
B
StartFraction 1 Over x Superscript 21 Baseline y Superscript 12 Baseline EndFraction
Option B
C
x cubed y Superscript 12
Option C
D
x cubed y Superscript 24
Option D
5

Which is the value of this expression when and ?

Question illustration
A
StartFraction 4 Over 9 EndFraction
Option A
B
StartFraction 27 Over 8 EndFraction
Option B
C
StartFraction 243 Over 32 EndFraction
Option C
D
StartFraction 729 Over 64 EndFraction
Option D
6

Which is the value of this expression when and ?

Question illustration
A
Negative 720
Option A
B
Negative 360
Option B
C
360
D
720
7

Which is the value of this expression when and ?

Question illustration
A
–8
B
Negative StartFraction 1 Over 8 EndFraction
Option B
C
one-eighth
Option C
D
8
8

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
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 value of this expression when and ?

Question illustration
A
StartFraction 1 Over 75 EndFraction
Option A
B
StartFraction 9 Over 25 EndFraction
Option B
C
StartFraction 25 Over 9 EndFraction
Option C
D
75

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