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Popular >

simplify (8)^{1/3}

Solution

simplify

(8)^{\frac{1}{3}}

Solution

2

Solution steps

8^{\frac{1}{3}}

Factor the number:

8 = 2^{3}

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

Apply exponent rule:

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

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

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

= 2^{1}

Apply exponent rule:

a^{1} = a

= 2

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Frequently Asked Questions (FAQ)

What is (8)^{1/3} ?
The solution to (8)^{1/3} is 2