# Write the radical expression using exponents and each exponential expression using radicals \sqrt[3]{7^{2}}

Write the radical expression using exponents and each exponential expression using radicals.
$\sqrt[3]{{7}^{2}}$

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Step 1
The given expression is $\sqrt[3]{{7}^{2}}$
$\sqrt[n]{a}={a}^{\frac{1}{n}}$
Exponent rule:
${\left({a}^{b}\right)}^{c}={a}^{bc}$
Step 2
$\sqrt[3]{{7}^{2}}={\left({7}^{2}\right)}^{\frac{1}{3}}$
$={7}^{\frac{2}{3}}$