Powers and Exponents Answers

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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.
3

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6

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

Answer:

The two powers are not equal. Wade is correct, but Luther misinterpreted 2 to the power of 3 as 2 factors of 3. He switched the base and exponent. Luther’s value should be 2 times 2 times 2, which is 8.

8

Examine the power. (-3)5 What is this power in expanded form? What is the value of the power?

Answers:
Selection 1:(–3) (–3) (–3) (–3) (–3)
Selection 2:–243
9

If a base is negative, how will you know whether the answer is positive or negative before evaluating it?

Answer:

The answer’s sign depends on whether the exponent is odd or even: an odd exponent produces a negative value, and an even exponent produces a positive value.

12

Question text not available

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.
15

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17

Which did you include in your response?

A
Whether the answer is positive or negative depends on whether the exponent is odd or even.
B
An odd exponent results in a negative value.
C
An even exponent results in a positive value.

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