Simplify \({16}^{4}\) to \(65536\).
\[\begin{aligned}&65536\times {8}^{3}\\&\frac{1}{{2}^{-3}}+{0.01}^{-\frac{1}{2}}-{27}^{\frac{2}{3}}LO\end{aligned}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\begin{aligned}&65536\times {8}^{3}\\&\frac{1}{\frac{1}{{2}^{3}}}+{0.01}^{-\frac{1}{2}}-{27}^{\frac{2}{3}}LO\end{aligned}\]
Simplify \({2}^{3}\) to \(8\).
\[\begin{aligned}&65536\times {8}^{3}\\&\frac{1}{\frac{1}{8}}+{0.01}^{-\frac{1}{2}}-{27}^{\frac{2}{3}}LO\end{aligned}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\begin{aligned}&65536\times {8}^{3}\\&\frac{1}{\frac{1}{8}}+\frac{1}{\sqrt{0.01}}-{27}^{\frac{2}{3}}LO\end{aligned}\]
Simplify \(\sqrt{0.01}\) to \(0.1\).
\[\begin{aligned}&65536\times {8}^{3}\\&\frac{1}{\frac{1}{8}}+\frac{1}{0.1}-{27}^{\frac{2}{3}}LO\end{aligned}\]
Rewrite \(27\) as \({3}^{3}\).
\[\begin{aligned}&65536\times {8}^{3}\\&\frac{1}{\frac{1}{8}}+\frac{1}{0.1}-{({3}^{3})}^{\frac{2}{3}}LO\end{aligned}\]
Use this rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[\begin{aligned}&65536\times {8}^{3}\\&\frac{1}{\frac{1}{8}}+\frac{1}{0.1}-{3}^{\frac{3\times 2}{3}}LO\end{aligned}\]
Simplify \(3\times 2\) to \(6\).
\[\begin{aligned}&65536\times {8}^{3}\\&\frac{1}{\frac{1}{8}}+\frac{1}{0.1}-{3}^{\frac{6}{3}}LO\end{aligned}\]
Simplify \(\frac{6}{3}\) to \(2\).
\[\begin{aligned}&65536\times {8}^{3}\\&\frac{1}{\frac{1}{8}}+\frac{1}{0.1}-{3}^{2}LO\end{aligned}\]
Simplify \({3}^{2}\) to \(9\).
\[\begin{aligned}&65536\times {8}^{3}\\&\frac{1}{\frac{1}{8}}+\frac{1}{0.1}-9LO\end{aligned}\]
Simplify \(\frac{1}{0.1}\) to \(10\).
\[\begin{aligned}&65536\times {8}^{3}\\&\frac{1}{\frac{1}{8}}+10-9LO\end{aligned}\]
65536*8^3;1/(1/8)+10-9*LO
