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Popular >

simplify \sqrt[8]{2^5}

Solution

simplify

Solution

2^{\frac{5}{8}}

+1

Decimal Notation

1.54221 \dots

Solution steps

Apply radical rule:

= (2^{5})^{\frac{1}{8}}

Apply exponent rule:

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

= 2^{5 \cdot \frac{1}{8}}

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

= 2^{\frac{5}{8}}

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Frequently Asked Questions (FAQ)

What is \sqrt[8]{2^5} ?
The solution to \sqrt[8]{2^5} is 2^{5/8}