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Popular >

simplify 125^{1/3}

Solution

simplify

12 5^{\frac{1}{3}}

Solution

5

Solution steps

12 5^{\frac{1}{3}}

Factor the number:

125 = 5^{3}

= (5^{3})^{\frac{1}{3}}

Apply exponent rule:

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

= 5^{3 \cdot \frac{1}{3}}

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

= 5^{1}

Apply exponent rule:

a^{1} = a

= 5

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Frequently Asked Questions (FAQ)

What is 125^{1/3} ?
The solution to 125^{1/3} is 5