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Popular >

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

Solution

simplify

(37)^{2}

Solution

7^{\frac{2}{3}}

+1

Decimal

3.65930 \dots

Solution steps

(37)^{2}

Apply radical rule:

n a = a^{\frac{1}{n}}

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

Apply exponent rule:

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

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

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

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

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Frequently Asked Questions (FAQ)

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