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Popular >

simplify \sqrt[8]{5^3}

Solution

simplify

Solution

5^{\frac{3}{8}}

+1

Decimal Notation

1.82857 \dots

Solution steps

Apply radical rule:

= (5^{3})^{\frac{1}{8}}

Apply exponent rule:

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

= 5^{3 \cdot \frac{1}{8}}

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

= 5^{\frac{3}{8}}

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Frequently Asked Questions (FAQ)

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