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Popular >

simplify (12^{1/6})^6

Solution

simplify

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

Solution

12

Solution steps

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 1 2^{\frac{1}{6} \cdot 6}

\frac{1}{6} \cdot 6 = 1

= 1 2^{1}

Apply exponent rule:

a^{1} = a

= 12

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Frequently Asked Questions (FAQ)

What is (12^{1/6})^6 ?
The solution to (12^{1/6})^6 is 12