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Popular >

simplify \sqrt[14]{2^4}

Solution

simplify

Solution

2^{\frac{2}{7}}

+1

Decimal Notation

1.21901 \dots

Solution steps

Apply radical rule:

= (2^{4})^{\frac{1}{14}}

Apply exponent rule:

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

= 2^{4 \cdot \frac{1}{14}}

4 \cdot \frac{1}{14} = \frac{2}{7}

= 2^{\frac{2}{7}}

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Frequently Asked Questions (FAQ)

What is \sqrt[14]{2^4} ?
The solution to \sqrt[14]{2^4} is 2^{2/7}