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Popular >

simplify \sqrt[3]{22^2}

Solution

simplify

Solution

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

+1

Decimal Notation

7.85142 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

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

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{22^2} ?
The solution to \sqrt[3]{22^2} is 22^{2/3}