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Popular >

simplify \sqrt[22]{2^{21}}

Solution

simplify

Solution

2^{\frac{21}{22}}

+1

Decimal Notation

1.93796 \dots

Solution steps

Apply radical rule:

= (2^{21})^{\frac{1}{22}}

Apply exponent rule:

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

= 2^{21 \cdot \frac{1}{22}}

21 \cdot \frac{1}{22} = \frac{21}{22}

= 2^{\frac{21}{22}}

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Frequently Asked Questions (FAQ)

What is \sqrt[22]{2^{21}} ?
The solution to \sqrt[22]{2^{21}} is 2^{21/22}