Simplify \({2}^{2}\) to \(4\).
\[4\times \frac{{3}^{2}}{{2}^{-2}}\times {3}^{-1}\]
Simplify \({3}^{2}\) to \(9\).
\[4\times \frac{9}{{2}^{-2}}\times {3}^{-1}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[4\times \frac{9}{\frac{1}{{2}^{2}}}\times {3}^{-1}\]
Simplify \({2}^{2}\) to \(4\).
\[4\times \frac{9}{\frac{1}{4}}\times {3}^{-1}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[4\times \frac{9}{\frac{1}{4}}\times \frac{1}{3}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{4\times 9\times 1}{\frac{1}{4}\times 3}\]
Simplify \(4\times 9\) to \(36\).
\[\frac{36\times 1}{\frac{1}{4}\times 3}\]
Simplify \(36\times 1\) to \(36\).
\[\frac{36}{\frac{1}{4}\times 3}\]
Simplify \(\frac{1}{4}\times 3\) to \(\frac{3}{4}\).
\[\frac{36}{\frac{3}{4}}\]
Invert and multiply.
\[36\times \frac{4}{3}\]
Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[\frac{36\times 4}{3}\]
Simplify \(36\times 4\) to \(144\).
\[\frac{144}{3}\]
Simplify.
\[48\]
48
