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Popular >

simplify 1000^{1/3}

Solution

simplify

100 0^{\frac{1}{3}}

Solution

10

Solution steps

100 0^{\frac{1}{3}}

Factor the number:

1000 = 1 0^{3}

= (1 0^{3})^{\frac{1}{3}}

Apply exponent rule:

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

= 1 0^{3 \cdot \frac{1}{3}}

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

= 1 0^{1}

Apply exponent rule:

a^{1} = a

= 10

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Frequently Asked Questions (FAQ)

What is 1000^{1/3} ?
The solution to 1000^{1/3} is 10