Simplify the Radical Expression ((2^4)/(3^4))^(1/8)

${(\frac{2^{4}}{3^{4}})}^{\frac{1}{8}}$

Step 1

Raise $2$ to the power of $4$ .

${(\frac{16}{3^{4}})}^{\frac{1}{8}}$

Step 2

Raise $3$ to the power of $4$ .

${(\frac{16}{81})}^{\frac{1}{8}}$

Step 3

Apply the product rule to $\frac{16}{81}$ .

$\frac{16^{\frac{1}{8}}}{81^{\frac{1}{8}}}$