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Popular >

simplify 8^{1/6}

Solution

simplify

8^{\frac{1}{6}}

Solution

2^{\frac{1}{2}}

+1

Solution steps

8^{\frac{1}{6}}

Factor the number:

8 = 2^{3}

= (2^{3})^{\frac{1}{6}}

Apply exponent rule:

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

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

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

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

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Frequently Asked Questions (FAQ)

What is 8^{1/6} ?
The solution to 8^{1/6} is 2^{1/2}