Bot GPT 4-o mini To simplify the expression \((788)^6\) using the Power Rule of Exponents, we can provide a direct calculation since there's no further simplification needed beyond this multiplication of the base raised to an exponent.
The Power Rule states:
\[ (a^m)^n = a^{m \cdot n} \]
In your case, there is no inner exponent to apply. Given that we're dealing with the expression \((788)^6\), it simply means \(788\) raised to the sixth power.
So, the expression \((788)^6\) remains as:
\[ (788)^6 \]
This is the simplest form, unless you specifically want a numerical approximation or need to manipulate it in a different way. If you multiply it out, it results in a very large number:
\[ (788)^6 = 157529261802688 \]
But typically, in algebraic manipulation, you would leave it as is unless otherwise specified.
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