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Popular >

simplify \sqrt[9]{(2)^4}

Solution

simplify

Solution

2^{\frac{4}{9}}

+1

Solution steps

Apply radical rule:

= ((2)^{4})^{\frac{1}{9}}

Apply exponent rule:

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

= (2)^{4 \cdot \frac{1}{9}}

4 \cdot \frac{1}{9} = \frac{4}{9}

= (2)^{\frac{4}{9}}

Remove parentheses:

(a) = a

= 2^{\frac{4}{9}}

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Frequently Asked Questions (FAQ)

What is \sqrt[9]{(2)^4} ?
The solution to \sqrt[9]{(2)^4} is 2^{4/9}