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

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

Jaya Legge 2021-08-01 Answered

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

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Cullen

Answered 2021-08-02 Author has 89 answers

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

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