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Popular >

simplify \sqrt[10]{5^8}

Solution

simplify

Solution

5^{\frac{4}{5}}

+1

Decimal Notation

3.62389 \dots

Solution steps

Apply radical rule:

= (5^{8})^{\frac{1}{10}}

Apply exponent rule:

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

= 5^{8 \cdot \frac{1}{10}}

8 \cdot \frac{1}{10} = \frac{4}{5}

= 5^{\frac{4}{5}}

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Frequently Asked Questions (FAQ)

What is \sqrt[10]{5^8} ?
The solution to \sqrt[10]{5^8} is 5^{4/5}