Since the power of 3 is odd, the result will be negative.
\[{(3)}^{2\times -{2}^{3}}\]
Simplify \({2}^{3}\) to \(8\).
\[{(3)}^{2\times -8}\]
Simplify \(2\times -8\) to \(-16\).
\[{(3)}^{-16}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\frac{1}{{(3)}^{16}}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[\frac{1}{{3}^{16}{}^{16}}\]
Simplify \({3}^{16}\) to \(43046721\).
\[\frac{1}{43046721{}^{16}}\]
1/(43046721*^16)
