Use Division Distributive Property: \({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\).
\[{x}^{3}=\frac{{}^{4}}{{x}^{4}}\]
Move all terms to one side.
\[{x}^{3}-\frac{{}^{4}}{{x}^{4}}=0\]
Multiply both sides by \({x}^{4}\).
\[{x}^{7}-{}^{4}=0\]
Add \({}^{4}\) to both sides.
\[{x}^{7}=4\]
Take the \(7\)th root of both sides.
\[x=\sqrt[7]{4}\]
Rewrite \(4\) as \({2}^{2}\).
\[x=\sqrt[7]{{2}^{2}}\]
Use this rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[x={2}^{\frac{2}{7}}\]
Decimal Form: 1.219014
x=2^(2/7)
