AnswersAG Q1 Keystone Algebra 1 Block 26-27 DDiamondEvaluating Expressions with Exponents

Evaluating Expressions with Exponents Answers

2 verified answers
1
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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
2
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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
3

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
4

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.
5

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
6

Which is the simplified form of the expression ?

Question illustration
A
StartFraction 1 Over 6 Superscript 42 Baseline EndFraction
Option A
B
StartFraction 1 Over 6 Superscript 19 Baseline EndFraction
Option B
C
6 Superscript 6
Option C
D
6 Superscript 30
Option D
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 the expression ?

Question illustration
A
1
B
2
C
8
D
10
10

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

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