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

Question

10^16
90^7
10^63
10^2

Answer 1

To apply the power rule of exponents, we use the property that \((a^m)^n = a^{m \cdot n}\).

In the expression \((10^9)^7\), we can apply this rule:

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

Therefore, the correct answer is:

10^63.