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Popular >

simplify (64^{1/3})^2

Solution

simplify

(6 4^{\frac{1}{3}})^{2}

Solution

16

Solution steps

(6 4^{\frac{1}{3}})^{2}

Apply exponent rule:

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

= 6 4^{\frac{1}{3} \cdot 2}

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

= 6 4^{\frac{2}{3}}

Factor the number:

64 = 4^{3}

= (4^{3})^{\frac{2}{3}}

Apply exponent rule:

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

= 4^{3 \cdot \frac{2}{3}}

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

= 4^{2}

4^{2} = 16

= 16

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Frequently Asked Questions (FAQ)

What is (64^{1/3})^2 ?
The solution to (64^{1/3})^2 is 16