Solve for r r=((3V)/(4pi))^(1/3)

$r = {(\frac{3 V}{4 π})}^{\frac{1}{3}}$

Apply the product rule to $\frac{3 V}{4 π}$ .

$r = \frac{{(3 V)}^{\frac{1}{3}}}{{(4 π)}^{\frac{1}{3}}}$

Apply the product rule to $3 V$ .

$r = \frac{3^{\frac{1}{3}} V^{\frac{1}{3}}}{{(4 π)}^{\frac{1}{3}}}$

Apply the product rule to $4 π$ .

$r = \frac{3^{\frac{1}{3}} V^{\frac{1}{3}}}{4^{\frac{1}{3}} π^{\frac{1}{3}}}$