Which of the following correctly used the Power Rule of Exponents in the expression (109)7 ?(1 point) Responses 1016 10 superscript 16 baseline 1063 10 superscript 63 baseline 907 90 superscript 7 baseline 102

Answer 1

To apply the Power Rule of Exponents, you multiply the exponents when raising a power to a power. The rule states that \( (a^m)^n = a^{m \cdot n} \).

In the expression \( (10^9)^7 \):

1. Applying the Power Rule: \[ (10^9)^7 = 10^{9 \cdot 7} = 10^{63} \]

Therefore, the correctly used expression is \( 10^{63} \).

So, the correct response is 1063 (10 superscript 63 baseline).