AnswersJHS-Algebra 1A full yearZero and Negative Exponents

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What is the pattern in the values as the exponents increase?Powers of 3Value139

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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
2
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Which statement describes what these four powers have in common?

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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.
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?

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

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

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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
5

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
6

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
7

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
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

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
10

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

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