Question

rewrite with rational exponents. (sqrt10mn)^3.

Answer 1

\[10mn ^{3/2}\]

Answer 2

\[\Large \left(\sqrt{10mn}\right)^3\]


\[\Large \left((10mn)^{\frac{1}{2}}\right)^3\]


\[\Large (10mn)^{\left(\frac{1}{2}\right)\times3}\]


\[\Large (10mn)^{\frac{3}{2}}\]
So \[\Large \left(\sqrt{10mn}\right)^3 = (10mn)^{\frac{3}{2}}\]