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Popular >

simplify \sqrt[3]{1331^2}

Solution

simplify

Solution

121

Solution steps

Apply radical rule:

= (133 1^{2})^{\frac{1}{3}}

Apply exponent rule:

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

= 133 1^{2 \cdot \frac{1}{3}}

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

= 133 1^{\frac{2}{3}}

Factor the number:

1331 = 1 1^{3}

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

Apply exponent rule:

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

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

= 1 1^{2}

Refine

= 121

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{1331^2} ?
The solution to \sqrt[3]{1331^2} is 121