Since the power of 2 is even, the result will be positive.
\[\frac{{3}^{2}\times {2}^{3}\times {3}^{2}}{{3}^{3}}\]
Simplify \({2}^{3}\) to \(8\).
\[\frac{{3}^{2}\times 8\times {3}^{2}}{{3}^{3}}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{{3}^{4}\times 8}{{3}^{3}}\]
Use Quotient Rule: \(\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}\).
\[{3}^{4-3}\times 8\]
Simplify \(4-3\) to \(1\).
\[{3}^{1}\times 8\]
Use Rule of One: \({x}^{1}=x\).
\[3\times 8\]
Simplify.
\[24\]
24
