To apply the Power Rule of Exponents, which states that \((a^m)^n = a^{m \cdot n}\), we can rewrite the expression \((10^9)^7\):
\[ (10^9)^7 = 10^{9 \cdot 7} = 10^{63} \]
Therefore, the correct choice that represents \((10^9)^7\) is:
10 superscript 63 baseline (10^63).