Simplify (m^2)^(3/2)n^(1/7)

${(m^{2})}^{\frac{3}{2}} n^{\frac{1}{7}}$

Step 1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$m^{2 (\frac{3}{2})} n^{\frac{1}{7}}$

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

$m^{2 (\frac{3}{2})} n^{\frac{1}{7}}$

Rewrite the expression.

$m^{3} n^{\frac{1}{7}}$