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Popular >

simplify \sqrt[14]{2}^5

Solution

simplify

Solution

2^{\frac{5}{14}}

+1

Decimal Notation

1.28088 \dots

Solution steps

Apply radical rule:

= (2^{\frac{1}{14}})^{5}

Apply exponent rule:

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

= 2^{\frac{1}{14} \cdot 5}

\frac{1}{14} \cdot 5 = \frac{5}{14}

= 2^{\frac{5}{14}}

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Frequently Asked Questions (FAQ)

What is \sqrt[14]{2}^5 ?
The solution to \sqrt[14]{2}^5 is 2^{5/14}