Simplify \({2}^{3}\) to \(8\).
\[\frac{{2}^{2}}{8}+\sqrt[\frac{8}{27}\times 8\times 8]{3}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{{2}^{2}}{8}+\sqrt[\frac{8\times 8\times 8}{27}]{3}\]
Simplify \(8\times 8\) to \(64\).
\[\frac{{2}^{2}}{8}+\sqrt[\frac{64\times 8}{27}]{3}\]
Simplify \(64\times 8\) to \(512\).
\[\frac{{2}^{2}}{8}+\sqrt[\frac{512}{27}]{3}\]
Invert and multiply.
\[\frac{{2}^{2}}{8}+{3}^{\frac{27}{512}}\]
Simplify \({2}^{2}\) to \(4\).
\[\frac{4}{8}+{3}^{\frac{27}{512}}\]
Simplify \(\frac{4}{8}\) to \(\frac{1}{2}\).
\[\frac{1}{2}+{3}^{\frac{27}{512}}\]
Decimal Form: 1.559646
1/2+3^(27/512)
