Raising a Power to a Power Answers

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1
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Which expression is equivalent to ?

Question illustration
A
(6 times 6 times 6 times 6) + (6 times 6 times 6)
Option A
B
(6 + 6 + 6 + 6) times (6 + 6 + 6)
Option B
C
(6 times 6 times 6 times 6) times (6 times 6 times 6)
Option C
D
(6 times 6 times 6 times 6 times 6) times (6 times 6 times 6 times 6)
Option D
2
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What is the value of n in the equation below?

Question illustration
A
Negative 20
Option A
B
Negative 9
Option B
C
9
D
20
3

There are bytes in a gigabyte. There are bytes in a megabyte. How many times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive?

Question illustration
A
3 times greater
B
10 times greater
C
1,000 times greater
D
3,000 times greater
4

The table below shows metric units of mass, with the relationship of each unit to 1 gram represented as a power of 10.Metric Units of MassUnitsPower of 10MicrogramMilligramCentigramGramKilogramWhich statement comparing these measures is true?

Question illustration
A
A microgram is 1,000 times greater than a milligram.
B
A milligram is 10 times greater than a centigram.
C
A centigram is 100 times greater than a microgram.
D
A kilogram is 100,000 times greater than a centigram.
5

What is the value of n in the equation below?

Question illustration
A
3
B
6
C
12
D
27
6

What is the value of c in the equation below?

Question illustration
A
Negative 4
Option A
B
Negative 2
Option B
C
StartFraction 1 Over 64 EndFraction
Option C
D
One-fourth
Option D
7

Eli claims that the product of and is . Which explains whether Eli is correct?

Question illustration
A
Eli is correct. He added to find the exponent of 2.
Option A
B
Eli is incorrect. He added the exponents instead of subtracting them.
C
Eli is incorrect. He subtracted the exponents instead of adding them.
D
Eli is incorrect. He added the exponents even though the bases are not the same.
8

Karim builds a wooden table. in.The rectangular top of his table has an area of square inches and a length of inches. What is the width of the table top?

Question illustration
A
9 inches
B
27 inches
C
2,187 inches
D
59,049 inches
9

What is the value of x in the product of powers below?

Question illustration
A
Negative 11
Option A
B
negative 7
Option B
C
7
D
11
10

Which expressions are equivalent to ? Check all that apply.

Question illustration
A
2 Superscript 9
Option A
B
2 Superscript 20
Option B
C
2 times 2 Superscript 9
Option C
D
2 Superscript 10 times 2 squared
Option D
E
2 Superscript negative 2 Baseline times 2 Superscript 11
Option E
F
(2 times 2 times 2 times 2 times 2) times (2 times 2 times 2 times 2)
Option F

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