which of the following correctly used the power rule of exponents in the expression (10^9)^7

A: 10^2
B: 90^7
C: 10^16
D: 10^63

1 answer

The correct answer is D: 10^63.

To apply the power rule of exponents, you need to multiply the exponents together. In this case, you have (10^9)^7.

So, when you raise a power to a power, you multiply the exponents: (10^9)^7 = 10^(9*7) = 10^63.

Therefore, the correct answer is D: 10^63.