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Popular >

simplify \sqrt[15]{8^3}

Solution

simplify

Solution

+1

Decimal Notation

1.51571 \dots

Solution steps

Apply radical rule:

= (8^{3})^{\frac{1}{15}}

Apply exponent rule:

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

= 8^{3 \cdot \frac{1}{15}}

3 \cdot \frac{1}{15} = \frac{1}{5}

= 8^{\frac{1}{5}}

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Frequently Asked Questions (FAQ)

What is \sqrt[15]{8^3} ?
The solution to \sqrt[15]{8^3} is \sqrt[5]{8}