Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[{6}^{4}\times \frac{1}{{6}^{3}}\times {6}^{-1}\]
Simplify \({6}^{4}\) to \(1296\).
\[1296\times \frac{1}{{6}^{3}}\times {6}^{-1}\]
Simplify \({6}^{3}\) to \(216\).
\[1296\times \frac{1}{216}\times {6}^{-1}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[1296\times \frac{1}{216}\times \frac{1}{6}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{1296\times 1\times 1}{216\times 6}\]
Simplify \(1296\times 1\) to \(1296\).
\[\frac{1296\times 1}{216\times 6}\]
Simplify \(1296\times 1\) to \(1296\).
\[\frac{1296}{216\times 6}\]
Simplify \(216\times 6\) to \(1296\).
\[\frac{1296}{1296}\]
Cancel \(1296\).
\[1\]
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