Remove parentheses.
\[{2}^{-3}+{0.01}^{-1}-{27}^{\frac{2}{3}}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\frac{1}{{2}^{3}}+{0.01}^{-1}-{27}^{\frac{2}{3}}\]
Simplify \({2}^{3}\) to \(8\).
\[\frac{1}{8}+{0.01}^{-1}-{27}^{\frac{2}{3}}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\frac{1}{8}+\frac{1}{0.01}-{27}^{\frac{2}{3}}\]
Rewrite \(27\) as \({3}^{3}\).
\[\frac{1}{8}+\frac{1}{0.01}-{({3}^{3})}^{\frac{2}{3}}\]
Use this rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[\frac{1}{8}+\frac{1}{0.01}-{3}^{\frac{3\times 2}{3}}\]
Simplify \(3\times 2\) to \(6\).
\[\frac{1}{8}+\frac{1}{0.01}-{3}^{\frac{6}{3}}\]
Simplify \(\frac{6}{3}\) to \(2\).
\[\frac{1}{8}+\frac{1}{0.01}-{3}^{2}\]
Simplify \({3}^{2}\) to \(9\).
\[\frac{1}{8}+\frac{1}{0.01}-9\]
Simplify \(\frac{1}{0.01}\) to \(100\).
\[\frac{1}{8}+100-9\]
Simplify.
\[\frac{729}{8}\]
Decimal Form: 91.125
729/8
