Question

simplify.
$\sqrt[3]{8m} {}^{3}$

Answer 1

$\sqrt[3]{8m}^3$

• Set up

$(8m^{\frac{1}{3}})^3$

• Convert the radical into a fractional exponent using $\sqrt[n]{x^m} = x^{\frac{m}{n}}$

$8m^{(3 \cdot \frac{1}{3})}$

• Use the property that $(x^a)^b = x^{(a \cdot b)}$

$8m$

• Simplify

The simplification would be 8m.