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Zero and Negative Exponents Answers

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Tori examined the pattern of exponents in the table.Powers of 6Value2163661abBased on the pattern, which statements are true? Check all that apply.

Question illustration
A
The value of a is –6.
B
The value of b is .
Option B
C
As the exponents decrease, each previous value is divided by 6.
D
As the exponents increase, 6 is added to each previous value.
E
If the table was extended, the value of would be .
Option E
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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?

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

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
4

What is the value of ?

Question illustration
A
Negative StartFraction 1 Over 196 EndFraction
Option A
B
StartFraction 1 Over 196 EndFraction
Option B
C
0
D
1
5

Tyler simplified the expression . His procedure is shown below.What is Tyler’s error?

Question illustration
A
Both powers should be in the numerator with positive exponents.
B
Both powers should be in the denominator with positive exponents.
C
The power should be in the numerator and the power in the denominator.
Option C
D
The power should be in the numerator and the power in the denominator.
Option D
6

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

Question illustration
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 pattern in the values as the exponents increase?Powers of 3Value139

Question illustration
A
add 3 to the previous value
B
subtract 3 from the previous value
C
divide the previous value by 3
D
multiply the previous value by 3
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

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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