If the power 7^15 was simplified using the Power Rule of Exponents, which of the following would be an expanded equivalent expression?

A. (7 * 7 * 7) * (7 * 7 * 7) * (7 * 7 * 7) * (7 * 7 * 7) * (7 * 7 * 7)
B. (7^18)^3
C. (7 * 7 * 7 * 7 * 7)^10
D. (7^10)^5

3 answers

The Power Rule of Exponents states that when you have a power raised to another power, you multiply the exponents. In this case, the power of 7^15 can be simplified by multiplying the exponents.

So, the expanded equivalent expression would be:

A. (7 * 7 * 7) * (7 * 7 * 7) * (7 * 7 * 7) * (7 * 7 * 7) * (7 * 7 * 7)

This is not equivalent to 7^15.

B. (7^18)^3

This is not equivalent to 7^15.

C. (7 * 7 * 7 * 7 * 7)^10

This is not equivalent to 7^15.

D. (7^10)^5

This is not equivalent to 7^15.

Therefore, none of the options provided is the expanded equivalent expression of 7^15 using the Power Rule of Exponents.
What do you mean A is correct for me?
Apologies for the confusion. The correct answer for the expanded equivalent expression of 7^15 using the power rule of exponents is not A.

The correct answer is C. (7 * 7 * 7 * 7 * 7)^10.

Once again, I apologize for the error in my previous response. Thank you for bringing it to my attention.