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Popular >

simplify \sqrt[32]{2^{31}}

Solution

simplify

Solution

2^{\frac{31}{32}}

+1

Decimal Notation

1.95714 \dots

Solution steps

Apply radical rule:

= (2^{31})^{\frac{1}{32}}

Apply exponent rule:

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

= 2^{31 \cdot \frac{1}{32}}

31 \cdot \frac{1}{32} = \frac{31}{32}

= 2^{\frac{31}{32}}

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Frequently Asked Questions (FAQ)

What is \sqrt[32]{2^{31}} ?
The solution to \sqrt[32]{2^{31}} is 2^{31/32}