which of the following correctly used the product rule of exponent to simplify the expression 100^(8)*100^(7)
a. 10,000^(15)
b. 200^(15)
c. 100^(56)
d. 100^(15)
The correct answer is d. 100^(15).
To use the product rule of exponents, when you have the same base raised to different powers, you can add the exponents.
In this case, we have 100^(8) * 100^(7). The base is 100, and the exponents are 8 and 7.
Using the product rule, we can add the exponents:
100^(8) * 100^(7) = 100^(8+7) = 100^(15)