# How do you simplify (9m)^(3/2)?

It is $27 m \sqrt{m}$
It is ${\left(9 m\right)}^{\frac{3}{2}} = \sqrt{{\left(9 m\right)}^{3}} = \sqrt{{\left(9 m\right)}^{2} \cdot 9 \cdot m} = \left(9 m\right) \cdot 3 \cdot \sqrt{m} = 27 m \sqrt{m}$