Question

HELP ASAP!! PLEASE! Haley's work evaluating (-2)^8 is shown below.

(-2)^8 = (-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)
= -256
Which statement best describe Haley's first error?
A) She used the wrong number as a repeated factor and should have evaluated -2x2x2x2x2x2x2x2.
B) She used the wrong number as a repeated factor and should have evaluated -(8x8).
C) She misinterpreted the exponential form and should have multiplied -2 and 8.
D) She made a sign error when multiplying and should have had 256 as a final answer.

Answer 1

D) She made a sign error when multiplying and should have had 256 as a final answer.

Explanation:

Answer 2

Hence, the correct option is D.

Explanation:

Consider the provided information.

`(-2)^8=(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)=-256`

The above statement is wrong as the correct answer is:

`(-2)^8=(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)=256`

Because -2 is repeated 8 times.

Now consider the provided options.

The option A is wrong because Haley correctly repeat the factor.

The option B is wrong because she used the correct number as a repeated factor.

The option C is wrong because she correctly write the exponential form.

The option D is correct because she made a sign error when multiplying and should have had 256 as a final answer.

Hence, the correct option is D.