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Popular >

simplify 64^{1/6}

Solution

simplify

6 4^{\frac{1}{6}}

Solution

2

Solution steps

6 4^{\frac{1}{6}}

Factor the number:

64 = 2^{6}

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

Apply exponent rule:

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

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

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

= 2^{1}

Apply exponent rule:

a^{1} = a

= 2

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Frequently Asked Questions (FAQ)

What is 64^{1/6} ?
The solution to 64^{1/6} is 2