Which of the following correctly used the Product Rule of Exponents to simplify the expression 100^8⋅100^7? (1 point)

Responses

100^56

10,000^15

100^15

200^15

1 answer

The correct answer is 100^15.

To simplify the expression using the Product Rule of Exponents, you add the exponents when the bases are the same.

In this case, the base is 100, and the exponents are 8 and 7.

Using the Product Rule, you add the exponents: 8 + 7 = 15.

Therefore, the simplified expression is 100^15.