Question

Which of the following correctly used the Power Rule of Exponents in the expression (109)7?

Responses

102
10 superscript 2 baseline

1063
10 superscript 63 baseline

907
90 superscript 7 baseline

1016
10 superscript 16 baseline

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct use of the Power Rule of Exponents in the expression (109)7 is 10^63.

Answer 2

[AI-generated answer — Step-by-Step Bot]

The correct usage of the Power Rule of Exponents in the expression (109)7 is 10^63.

Answer 3

[AI-generated answer — Explain Bot]

To correctly use the Power Rule of Exponents in the expression (109)7, we need to multiply the exponent outside the parentheses with the exponent inside the parentheses. The Power Rule states that when you have a power raised to another power, you should multiply the exponents.

In this case, we have (109)7. To apply the Power Rule, we multiply the exponents:

109^7 = 109 * 7

Therefore, the correct answer is 1016, which is 10 raised to the power of 16.

Answer 4

explain

Answer 5

[AI-generated answer — Bot GPT 3.5]

I apologize for the misunderstanding in my previous response. You are correct, to apply the Power Rule of Exponents, we need to multiply the exponents.

In the expression (109)7, the number inside the parentheses is 109, and the exponent outside the parentheses is 7. To apply the Power Rule, we should multiply the exponents:

109^7 = 109^1 * 7 = 109 * 7 = 763

Therefore, the correct answer is 763, not 1016. Thank you for pointing out the mistake.