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Popular >

simplify \sqrt[8]{3^4}

Solution

simplify

Solution

3

+1

Decimal Notation

1.73205 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

= 3^{4 \cdot \frac{1}{8}}

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

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

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

= 3

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Frequently Asked Questions (FAQ)

What is \sqrt[8]{3^4} ?
The solution to \sqrt[8]{3^4} is square root of 3