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Popular >

simplify \sqrt[3]{(7/13)^2}

Solution

simplify

Solution

(\frac{7}{13})^{\frac{2}{3}}

+1

Decimal Notation

0.66186 \dots

Solution steps

Apply radical rule:

= ((\frac{7}{13})^{2})^{\frac{1}{3}}

Apply exponent rule:

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

= (\frac{7}{13})^{2 \cdot \frac{1}{3}}

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

= (\frac{7}{13})^{\frac{2}{3}}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{(7/13)^2} ?
The solution to \sqrt[3]{(7/13)^2} is (7/13)^{2/3}