Zero and Negative Exponents Answers

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Which is the simplified form of ?

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A
StartFraction n Superscript 6 Over p cubed EndFraction
Option A
B
StartFraction 1 Over n Superscript 6 Baseline p cubed EndFraction
Option B
C
StartFraction p cubed Over n Superscript 6 EndFraction
Option C
D
n Superscript 6 Baseline p cubed
Option D
2
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The power is equivalent to . What is the value of ?

Question illustration
A
Negative 81
Option A
B
Negative 9
Option B
C
StartFraction 1 Over 81 EndFraction
Option C
D
StartFraction 1 Over 9 EndFraction
Option D
3

If , what is the value of x?

Question illustration
A
Negative 243
Option A
B
Negative StartFraction 1 Over 243 EndFraction
Option B
C
StartFraction 1 Over 243 EndFraction
Option C
D
243
4

Tasha used the pattern in the table to find the value of .Powers of 4Value1641She used these steps.Step 1Find a pattern in the table.The pattern is to divide the previous value by 4 when the exponent decreases by 1.Step 2Find the value of .Step 3Find the value of .Step 4Rewrite the value for .In which step did Tasha make the first error?

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A
Step 1
B
Step 2
C
Step 3
D
Step 4
5

Which is the simplified form of ?

Question illustration
A
x Superscript 12
Option A
B
Negative x Superscript 12
Option B
C
StartFraction 1 Over x Superscript 12 EndFraction
Option C
D
Negative StartFraction 1 Over x Superscript 12 EndFraction
Option D
6

What is the pattern in the values as the exponents increase?Powers of 2Value1

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A
add to the previous value
Option A
B
subtract from the previous value
Option B
C
divide the previous value by 2
D
multiply the previous value by 2
7

What is the value of ?

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A
One-sixth
Option A
B
0
C
1
D
undefined
8

Based on the pattern in the table, what is the value of a?Powers of 2Valuea

Question illustration
A
Negative 64
Option A
B
Negative 12
Option B
C
StartFraction 1 Over 16 EndFraction
Option C
D
StartFraction 1 Over 64 EndFraction
Option D
9

Mr.Walden wrote the expression . He asked his students to write an equivalent expression of .Four students wrote these expressions.IsaacRosaBruceBriannaWhich student wrote the correct equation that can be simplified to be equivalent to Mr. Walden’s equation?

Question illustration
A
Isaac
B
Rosa
C
Bruce
D
Brianna
10

Lola says these two expressions have the same value.Expression AExpression BWhich explains whether Lola is correct?

Question illustration
A
Lola is correct because each expression has a value of 0.
B
Lola is correct because each expression has a value of 1.
C
Lola is not correct because the value of expression A is 1 and the value of expression B is .
Option C
D
Lola is not correct because the value of expression A is and the value of expression B is 1.
Option D

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