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

Question

options:

10^2

10^16

10^63

90^7

Answer 1

To apply the Power Rule of Exponents, which states that \((a^m)^n = a^{m \cdot n}\), we need to simplify the expression \((10^9)^7\).

Applying the Power Rule:

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

Therefore, the correct option that uses the Power Rule of Exponents correctly is:

10^63