Which of the following correctly used the Power Rule of Exponents in the expression (10^9)^7?

Question

1) 10^63
2) 10^2
3) 90^7
4) 10^16

Answer 1

The correct answer is option 4) 10^16.

To apply the Power Rule of Exponents, we multiply the exponents when we raise a power to another power. In this case, we have (10^9)^7, which means we raise 10^9 to the power of 7.

Using the Power Rule of Exponents, we multiply the exponents 9 and 7:

(10^9)^7 = 10^(9 * 7) = 10^63

Therefore, the correct answer is 10^63.