Question

Rewrite with rational exponents.
(√(3mn))^7

Answer 1

\[\Large \left(\sqrt{3mn}\right)^7\]


\[\Large \left((3mn)^{\frac{1}{2}}\right)^7\]


\[\Large (3mn)^{\frac{7}{2}}\]
So \[\Large \left(\sqrt{3mn}\right)^7 = (3mn)^{\frac{7}{2}}\]