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Popular >

simplify (64a^2)^{1/6}

Solution

simplify

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

Solution

2 a^{\frac{1}{3}}

Solution steps

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(64 a^{2})^{\frac{1}{6}} = 6 4^{\frac{1}{6}} (a^{2})^{\frac{1}{6}}

= 6 4^{\frac{1}{6}} (a^{2})^{\frac{1}{6}}

6 4^{\frac{1}{6}} = 2

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

= 2 a^{\frac{1}{3}}

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Frequently Asked Questions (FAQ)

What is (64a^2)^{1/6} ?
The solution to (64a^2)^{1/6} is 2a^{1/3}