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Popular >

simplify 3375^{1/3}

Solution

simplify

337 5^{\frac{1}{3}}

Solution

15

Solution steps

337 5^{\frac{1}{3}}

Factor the number:

3375 = 1 5^{3}

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

Apply exponent rule:

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

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

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

= 1 5^{1}

Apply exponent rule:

a^{1} = a

= 15

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Frequently Asked Questions (FAQ)

What is 3375^{1/3} ?
The solution to 3375^{1/3} is 15