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Popular >

simplify \sqrt[60]{2^{30}}

Solution

simplify

Solution

2

+1

Decimal Notation

1.41421 \dots

Solution steps

Apply radical rule:

= (2^{30})^{\frac{1}{60}}

Apply exponent rule:

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

= 2^{30 \cdot \frac{1}{60}}

30 \cdot \frac{1}{60} = \frac{1}{2}

= 2^{\frac{1}{2}}

a^{\frac{1}{2}} = a

= 2

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Frequently Asked Questions (FAQ)

What is \sqrt[60]{2^{30}} ?
The solution to \sqrt[60]{2^{30}} is square root of 2