AnswersJHS-Algebra 1A full yearZero and Negative Exponents

Zero and Negative Exponents Answers

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1
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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
2
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Which is the simplified form of ?

Question illustration
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
3

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
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

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

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
7

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
8

Which is the simplified form of ?

Question illustration
A
StartFraction 1 Over r Superscript 7 Baseline s Superscript 12 EndFraction
Option A
B
Negative r Superscript 7 Baseline minus s Superscript 12
Option B
C
StartFraction r Superscript 7 Over s Superscript 12 EndFraction
Option C
D
StartFraction 1 Over r Superscript 7 Baseline EndFraction + StartFraction 1 Over s Superscript 12 EndFraction
Option D
9

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
10

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

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