To simplify the expression \((788)^6\) using the Power Rule of Exponents, we can rewrite the number 788 in terms of its prime factorization first, if necessary. However, since you simply want to simplify the expression, we can directly write it in its simplified exponential form.
The expression \((788)^6\) is already in its simplest form for the power rule, which states:
\[ (a^m)^n = a^{m \cdot n} \]
In this case, however, we don't have a different base to raise the exponent. So we simply keep it as \((788)^6\).
If you need the numeric calculation for \((788)^6\), it's quite a large number:
\[ (788)^6 = 1,563,708,428,864 \]
Thus, we can conclude that \((788)^6\) is simply \(788^6\) or its numeric value \(1,563,708,428,864\).
If you meant to express it further without calculating the exact large number, you might leave it as \(788^6\).