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Popular >

simplify \sqrt[8]{8^2}

Solution

simplify

Solution

+1

Decimal Notation

1.68179 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

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

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Frequently Asked Questions (FAQ)

What is \sqrt[8]{8^2} ?
The solution to \sqrt[8]{8^2} is \sqrt[4]{8}