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Zero and Negative Exponents Answers

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1
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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
2
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The table shows a pattern of exponents.Powers of 5Value1252551What is the pattern as the exponents decrease?

Question illustration
A
subtract 5 from the previous value
B
subtract 100 from the previous value
C
divide the previous value by 5
D
divide the previous value by 25
3

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
4

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
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

Ramesh examined the pattern in the table.Powers of 7Value2,4013434971Ramesh says that based on the pattern . Which statement explains whether Ramesh is correct?

Question illustration
A
Ramesh is correct because is equivalent to , which has the same value as .
Option A
B
Ramesh is correct because as the exponents decrease, the previous value is divided by 7, so .
Option B
C
Ramesh is not correct because is equivalent to , which has the same value as .
Option C
D
Ramesh is not correct because as the exponents decrease, the previous value is divided by 7, so .
Option D
7

What is the value of ?

Question illustration
A
Negative StartFraction 256 Over 81 EndFraction
Option A
B
Negative StartFraction 81 Over 256 EndFraction
Option B
C
StartFraction 81 Over 256 EndFraction
Option C
D
StartFraction 256 Over 81 EndFraction
Option D
8

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
9

Simone examined the pattern in the table.Powers of 10Value101Based on the pattern, which power of 10 would have a value of ?

Question illustration
A
10 Superscript negative 6
Option A
B
10 Superscript negative 5
Option B
C
10 Superscript 5
Option C
D
10 Superscript 6
Option D
10

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
11

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
12

The table shows a pattern of exponents.Powers of 5Value1252551What is the pattern as the exponents decrease?

Question illustration
A
subtract 5 from the previous value
B
subtract 100 from the previous value
C
divide the previous value by 5
D
divide the previous value by 25
13

What is the value of ?

Question illustration
A
One-sixth
Option A
B
0
C
1
D
undefined
14

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
15

Which statement describes what these four powers have in common?

Question illustration
A
All the powers have a value of 0 because the exponent is zero.
B
All the powers have a value of 1 because the exponent is zero.
C
All the powers have a value of –1 because the exponent is zero.
D
All the powers have a fractional value because the exponent is zero.
16

Ramesh examined the pattern in the table.Powers of 7Value2,4013434971Ramesh says that based on the pattern . Which statement explains whether Ramesh is correct?

Question illustration
A
Ramesh is correct because is equivalent to , which has the same value as .
Option A
B
Ramesh is correct because as the exponents decrease, the previous value is divided by 7, so .
Option B
C
Ramesh is not correct because is equivalent to , which has the same value as .
Option C
D
Ramesh is not correct because as the exponents decrease, the previous value is divided by 7, so .
Option D

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