Solve for f (complex solution)
\left\{\begin{matrix}f=x^{-\frac{4}{5}}\text{, }&x\neq 0\\f\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Solve for f
\left\{\begin{matrix}f=\frac{1}{x^{\frac{4}{5}}}\text{, }&x\neq 0\\f\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=f^{-\frac{5}{4}}\text{, }&arg(f^{-\frac{1}{4}})<\frac{2\pi }{5}\text{ and }f\neq 0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=-\frac{1}{f^{\frac{5}{4}}}\text{; }x=\frac{1}{f^{\frac{5}{4}}}\text{, }&f>0\end{matrix}\right.
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xf=\sqrt[5]{x}
The equation is in standard form.
\frac{xf}{x}=\frac{\sqrt[5]{x}}{x}
Divide both sides by x.
f=\frac{\sqrt[5]{x}}{x}
Dividing by x undoes the multiplication by x.
f=x^{-\frac{4}{5}}
Divide \sqrt[5]{x} by x.
xf=\sqrt[5]{x}
The equation is in standard form.
\frac{xf}{x}=\frac{\sqrt[5]{x}}{x}
Divide both sides by x.
f=\frac{\sqrt[5]{x}}{x}
Dividing by x undoes the multiplication by x.
f=\frac{1}{x^{\frac{4}{5}}}
Divide \sqrt[5]{x} by x.
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