Roots or Radicals

Original

Rewrite

$\sqrt[\mathit{root}]{x^{\mathit{power}}}$

$x^{\frac{\mathit{power}}{\mathit{root}}}$

$\sqrt[5]{x^3}$

$x^{\frac{3}{5}}$

Remember that there is an unwritten power and root in this situation.

$\sqrt{x}$

$\sqrt[2]{x^1}$

$x^{\frac{1}{2}}$

$\sqrt[5]{{\mathrm{(}{x}^2+1\mathrm{)}}^3}$

${\mathrm{(}{x}^2+1\mathrm{)}}^{\frac{3}{5}}$

$\sqrt{4x–5}$

$\sqrt[2]{{\mathrm{(}4x–5\mathrm{)}}^1}$

${\mathrm{(}4x–5\mathrm{)}}^{\frac{1}{2}}$