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Popular >

simplify \sqrt[15]{2^{14}}

Solution

simplify

Solution

2^{\frac{14}{15}}

+1

Decimal Notation

1.90968 \dots

Solution steps

Apply radical rule:

= (2^{14})^{\frac{1}{15}}

Apply exponent rule:

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

= 2^{14 \cdot \frac{1}{15}}

14 \cdot \frac{1}{15} = \frac{14}{15}

= 2^{\frac{14}{15}}

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Frequently Asked Questions (FAQ)

What is \sqrt[15]{2^{14}} ?
The solution to \sqrt[15]{2^{14}} is 2^{14/15}