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Popular >

simplify \sqrt[16]{2^{10}}

Solution

simplify

Solution

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

+1

Decimal Notation

1.54221 \dots

Solution steps

Apply radical rule:

= (2^{10})^{\frac{1}{16}}

Apply exponent rule:

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

= 2^{10 \cdot \frac{1}{16}}

10 \cdot \frac{1}{16} = \frac{5}{8}

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

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Frequently Asked Questions (FAQ)

What is \sqrt[16]{2^{10}} ?
The solution to \sqrt[16]{2^{10}} is 2^{5/8}