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Popular >

simplify (\sqrt[8]{9})^4

Solution

simplify

Solution

3

Solution steps

Factor the number:

9 = 3^{2}

Apply radical rule:

= ((3^{2})^{\frac{1}{8}})^{4}

Apply exponent rule:

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

= (3^{2})^{\frac{1}{8} \cdot 4}

\frac{1}{8} \cdot 4 = \frac{1}{2}

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

a^{\frac{1}{2}} = a

= 3^{2}

Apply radical rule:

assuming

a \geq 0

= 3

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Frequently Asked Questions (FAQ)

What is (\sqrt[8]{9})^4 ?
The solution to (\sqrt[8]{9})^4 is 3