Simplify the Radical Expression (n^(7/2))^3

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

Step 1

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

$n^{\frac{7}{2} \cdot 3}$

Step 2

Multiply $\frac{7}{2} \cdot 3$ .

Combine $\frac{7}{2}$ and $3$ .

$n^{\frac{7 \cdot 3}{2}}$

Multiply $7$ by $3$ .

$n^{\frac{21}{2}}$