Convert to Radical Form ((x^3)^(1/2))/(x^(7/2))

$\frac{{(x^{3})}^{\frac{1}{2}}}{x^{\frac{7}{2}}}$

Step 1

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$\frac{\sqrt{{(x^{3})}^{1}}}{x^{\frac{7}{2}}}$

Step 2

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$\frac{\sqrt{{(x^{3})}^{1}}}{\sqrt{x^{7}}}$

Step 3

Anything raised to $1$ is the base itself.

$\frac{\sqrt{x^{3}}}{\sqrt{x^{7}}}$