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Popular >

simplify \sqrt[12]{2^{10}}

Solution

simplify

12 2^{10}

Solution

2^{\frac{5}{6}}

+1

Decimal

1.78179 \dots

Solution steps

12 2^{10}

Apply radical rule:

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

= (2^{10})^{\frac{1}{12}}

Apply exponent rule:

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

= 2^{10 \cdot \frac{1}{12}}

10 \cdot \frac{1}{12} = \frac{5}{6}

= 2^{\frac{5}{6}}

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Frequently Asked Questions (FAQ)

What is \sqrt[12]{2^{10}} ?
The solution to \sqrt[12]{2^{10}} is 2^{5/6}