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Popular >

simplify (\sqrt[9]{27})^3

Solution

simplify

Solution

3

Solution steps

Factor the number:

27 = 3^{3}

Apply radical rule:

= ((3^{3})^{\frac{1}{9}})^{3}

Apply exponent rule:

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

= (3^{3})^{\frac{1}{9} \cdot 3}

\frac{1}{9} \cdot 3 = \frac{1}{3}

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

Apply radical rule:

assuming

a \geq 0

= 3

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Frequently Asked Questions (FAQ)

What is (\sqrt[9]{27})^3 ?
The solution to (\sqrt[9]{27})^3 is 3