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Popular >

simplify 125^{5/3}

Solution

simplify

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

Solution

3125

Solution steps

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

Factor the number:

125 = 5^{3}

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

Apply exponent rule:

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

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

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

= 5^{5}

5^{5} = 3125

= 3125

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Frequently Asked Questions (FAQ)

What is 125^{5/3} ?
The solution to 125^{5/3} is 3125