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

Evaluating Expressions with Exponents Answers

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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?

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A
Step 1
B
Step 2
C
Step 3
D
Step 4
2
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Which is the value of this expression when and ?

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A
–4
B
Negative StartFraction 1 Over 16 EndFraction
Option B
C
StartFraction 1 Over 16 EndFraction
Option C
D
4
3

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?

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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.
4

Loi used these steps to simplify the expression .Step 1:Subtract the exponents of powers with like bases.Step 2:Apply the power of a product rule.Step 3:Write negative exponents as reciprocals using positive exponents.Step 4:Evaluate the power with the integer base.In which step did Loi make the first error?

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4

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