Which of the following correctly used the Power Rule of Exponents in the expression (10^9)^7 ?(1 point)

Question

Responses

102
10 superscript 2 baseline

1016
10 superscript 16 baseline

1063
10 superscript 63 baseline

907

Answer 1

To simplify the expression \((10^9)^7\) using the Power Rule of Exponents, we apply the rule which states that when raising a power to a power, we multiply the exponents.

So, we have:

\[ (10^9)^7 = 10^{9 \cdot 7} = 10^{63}. \]

Therefore, the correct response is:

1063 (10 superscript 63 baseline).