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Popular >

simplify \sqrt[14]{27^{12}}

Solution

simplify

Solution

2 7^{\frac{6}{7}}

+1

Solution steps

Apply radical rule:

= (2 7^{12})^{\frac{1}{14}}

Apply exponent rule:

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

= 2 7^{12 \cdot \frac{1}{14}}

12 \cdot \frac{1}{14} = \frac{6}{7}

= 2 7^{\frac{6}{7}}

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Frequently Asked Questions (FAQ)

What is \sqrt[14]{27^{12}} ?
The solution to \sqrt[14]{27^{12}} is 27^{6/7}