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Popular >

simplify (\sqrt[14]{36})^7

Solution

simplify

Solution

6

Solution steps

Factor the number:

36 = 6^{2}

Apply radical rule:

= ((6^{2})^{\frac{1}{14}})^{7}

Apply exponent rule:

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

= (6^{2})^{\frac{1}{14} \cdot 7}

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

= (6^{2})^{\frac{1}{2}}

a^{\frac{1}{2}} = a

= 6^{2}

Apply radical rule:

assuming

a \geq 0

= 6

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Frequently Asked Questions (FAQ)

What is (\sqrt[14]{36})^7 ?
The solution to (\sqrt[14]{36})^7 is 6