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Popular >

simplify \sqrt[6]{1000^2}

Solution

simplify

Solution

10

Solution steps

Apply radical rule:

= (100 0^{2})^{\frac{1}{6}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 100 0^{2 \cdot \frac{1}{6}}

2 \cdot \frac{1}{6} = \frac{1}{3}

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

Factor the number:

1000 = 1 0^{3}

Apply radical rule:

= 10

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Frequently Asked Questions (FAQ)

What is \sqrt[6]{1000^2} ?
The solution to \sqrt[6]{1000^2} is 10