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Popular >

simplify 3125^{1/5}

Solution

simplify

312 5^{\frac{1}{5}}

Solution

5

Solution steps

312 5^{\frac{1}{5}}

Factor the number:

3125 = 5^{5}

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

Apply exponent rule:

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

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

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

= 5^{1}

Apply exponent rule:

a^{1} = a

= 5

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Frequently Asked Questions (FAQ)

What is 3125^{1/5} ?
The solution to 3125^{1/5} is 5