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Popular >

simplify (64)^{2/3}

Solution

simplify

(64)^{\frac{2}{3}}

Solution

16

Solution steps

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