Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[\sqrt[5]{128}\sqrt[5]{{x}^{2}}\]
Simplify \(\sqrt[5]{128}\) to \(2\sqrt[5]{4}\).
\[2\sqrt[5]{4}\sqrt[5]{{x}^{2}}\]
Rewrite \(4\) as \({2}^{2}\).
\[2\sqrt[5]{{2}^{2}}\sqrt[5]{{x}^{2}}\]
Use this rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[2\times {2}^{\frac{2}{5}}\sqrt[5]{{x}^{2}}\]
Use this rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[2\times {2}^{\frac{2}{5}}{x}^{\frac{2}{5}}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{2}^{\frac{7}{5}}{x}^{\frac{2}{5}}\]
2^(7/5)*x^(2/5)
