Convert to Radical Form (32a^10b^(5/2))^(2/5)

${(32 a^{10} b^{\frac{5}{2}})}^{\frac{2}{5}}$

Step 1

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

${(32 a^{10} \sqrt{b^{5}})}^{\frac{2}{5}}$

Step 2

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

$\sqrt[5]{{(32 a^{10} \sqrt{b^{5}})}^{2}}$