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Popular >

simplify 36^{1/6}

Solution

simplify

3 6^{\frac{1}{6}}

Solution

6^{\frac{1}{3}}

+1

Solution steps

3 6^{\frac{1}{6}}

Factor the number:

36 = 6^{2}

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

Apply exponent rule:

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

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

2 \cdot \frac{1}{6} = \frac{1}{3}

= 6^{\frac{1}{3}}

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Frequently Asked Questions (FAQ)

What is 36^{1/6} ?
The solution to 36^{1/6} is 6^{1/3}