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.

$\sqrt{x}$

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

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

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

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

$\sqrt{4x–5}$

$\sqrt[2]{{\left(4x–5\right)}^1}$

${\left(4x–5\right)}^{\frac{1}{2}}$