Question

Use the Power Rule of Exponents to simplify the expression (788)6 .(1 point)

Answer 1

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.