To simplify the expression \((734)^5\) using the Power Rule of Exponents, you simply apply the rule directly:
The Power Rule states that \((a^m)^n = a^{m \cdot n}\). However, since we have a base of \(734\) raised to the power of \(5\), we don't have a nested exponent, which would require using the Power Rule.
We cannot simplify \((734)^5\) further using the Power Rule alone without multiplying \(734\) by itself five times. Therefore, the simplified expression remains:
\[ (734)^5 \]
If you need to calculate the numerical value of \(734^5\), you could do that with a calculator, but in terms of exponent rules, this is the simplest form.