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Popular >

simplify \sqrt[3]{81^2}

Solution

simplify

Solution

+1

Decimal Notation

18.72075 \dots

Solution steps

8 1^{2} = 6561

Prime factorization of

6561 : 3^{8}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

3^{8} = 3^{6} \cdot 3^{2}

Apply radical rule:

3^{2} = 9

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{81^2} ?
The solution to \sqrt[3]{81^2} is 9\sqrt[3]{9}