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Popular >

simplify \sqrt[3]{10^2}

Solution

simplify

3 1 0^{2}

Solution

1 0^{\frac{2}{3}}

+1

Decimal

4.64158 \dots

Solution steps

3 1 0^{2}

Apply radical rule:

n a = a^{\frac{1}{n}}

= (1 0^{2})^{\frac{1}{3}}

Apply exponent rule:

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

= 1 0^{2 \cdot \frac{1}{3}}

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

= 1 0^{\frac{2}{3}}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{10^2} ?
The solution to \sqrt[3]{10^2} is 10^{2/3}