AnswersAG Q1 Keystone Algebra 1 Block 26-27 DDiamondPowers and Exponents

Powers and Exponents Answers

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1
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What is the base? 3✔ 81124

Answers:
Examine the power. 83:8
Examine the power. 83:3
Examine the power. 83:(8)(8)(8)
Examine the power. 83:512
2
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What is the exponent? ✔ 381124

A
✔ 3
B
8
C
11
D
24
3

What is the power in expanded form? 8 + 3(8)(3)✔ (8)(8)(8)(3)(3)(3)(3)(3)(3)(3)(3)

A
8 + 3
B
(8)(3)
C
✔ (8)(8)(8)
D
(3)(3)(3)(3)(3)(3)(3)(3)
4

What is the value of the power?524✔ 5126,561

A
5
B
24
C
✔ 512
D
6,561
5

Question text not available

Answers:
Examine the power. (-3)5:(–3) (–3) (–3) (–3) (–3)
Examine the power. (-3)5:–243
6

Which is the expression in exponential form?

A
7a
B
7a
C
a7
D
a + 7
7

Luther evaluated 23 as 9 and Wade evaluated 32 as 9. Are both students correct? Explain why or why not.

Answer:

No, only Wade is correct. Luther evaluated 2 to the third power, which is 2 * 2 * 2 8, not 9. Wade evaluated 3 to the second power, which is 3 * 3 9. Luther likely switched the base and exponent, calculating 3 to the second power instead of 2 to the third power.

8

What is this power in expanded form?(–3)(5)(5)(5)(5)(–3) (–3) (–3)✔ (–3) (–3) (–3) (–3) (–3)

Answers:
Examine the power. (-3)5:(–3) (–3) (–3) (–3) (–3)
Examine the power. (-3)5:–243
9

Which could have been the original exponential form of the expression Dawn simplified? Check all that apply.

A
(–4)3
B
26
C
34
D
(–8)2
E
(–2)6
10

Question text not available

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

Yes, he is correct.No, his value should be negative.No, he multiplied the exponent by the base.No, he used the base as the exponent.

A
Yes, he is correct.
B
No, his value should be negative.
C
No, he multiplied the exponent by the base.
D
No, he used the base as the exponent.
12

Which expressions are equivalent? Check all that apply.

A
39
B
34
C
–92
D
99
E
811
13

What is the exponential form of the following expression?(–5)(–5)(–5) · c · c · c

A
(–5) · c 3
B
(–5)3 · 3c
C
(–5)3 · c 3
D
(–5) · c 6
14

Which did you include in your response?

A
Wade is correct, but Luther is not.
B
The powers are not equal.
C
Luther switched the base and exponent.
D
2 to the power of 3 equals 8.
15

What is the value of the power?✔ –243–15125243

A
✔ –243
B
–15
C
125
D
243

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