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Popular >

simplify 125^{1/3}x

Solution

simplify

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

Solution

5 x

Solution steps

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

Factor the number:

125 = 5^{3}

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

Apply exponent rule:

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

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

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

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

= 5^{1} x

Apply exponent rule:

a^{1} = a

5^{1} = 5

= 5 x

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Frequently Asked Questions (FAQ)

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