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

Question

Responses

10^63
10 superscript 63 baseline

10^16
10 superscript 16 baseline

10^2
10 superscript 2 baseline

90^7

Answer 1

The correct application of the Power Rule of Exponents states that \((a^m)^n = a^{m \cdot n}\).

For the expression \((10^9)^7\), you would multiply the exponents:

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

Therefore, the correct response is:

10^63 (10 superscript 63 baseline)