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Popular >

simplify \sqrt[ 1/3 ]{7^{2/3}}

Solution

simplify

Solution

49

Solution steps

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 7^{\frac{2}{3} \cdot \frac{1}{\frac{1}{3}}}

\frac{2}{3} \cdot \frac{1}{\frac{1}{3}} = 2

= 7^{2}

7^{2} = 49

= 49

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Frequently Asked Questions (FAQ)

What is \sqrt[ 1/3 ]{7^{2/3}} ?
The solution to \sqrt[ 1/3 ]{7^{2/3}} is 49