Write with Rational (Fractional) Exponents (7^2)^(1/4)

${(7^{2})}^{\frac{1}{4}}$

Step 1

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

$7^{2 (\frac{1}{4})}$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$7^{2 \frac{1}{2 (2)}}$

Cancel the common factor.

$7^{2 \frac{1}{2 \cdot 2}}$

Rewrite the expression.

$7^{\frac{1}{2}}$