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Popular >

simplify 125^{2/3}

Solution

simplify

12 5^{\frac{2}{3}}

Solution

25

Solution steps

12 5^{\frac{2}{3}}

Factor the number:

125 = 5^{3}

= (5^{3})^{\frac{2}{3}}

Apply exponent rule:

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

= 5^{3 \cdot \frac{2}{3}}

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

= 5^{2}

5^{2} = 25

= 25

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Frequently Asked Questions (FAQ)

What is 125^{2/3} ?
The solution to 125^{2/3} is 25