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Popular >

simplify \sqrt[6]{81^3}

Solution

simplify

6 8 1^{3}

Solution

9

Solution steps

6 8 1^{3}

Apply radical rule:

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

= (8 1^{3})^{\frac{1}{6}}

Apply exponent rule:

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

= 8 1^{3 \cdot \frac{1}{6}}

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

= 8 1^{\frac{1}{2}}

a^{\frac{1}{2}} = a

= 81

Factor the number:

81 = 9^{2}

= 9^{2}

Apply radical rule:

n a^{n} = a

9^{2} = 9

= 9

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Frequently Asked Questions (FAQ)

What is \sqrt[6]{81^3} ?
The solution to \sqrt[6]{81^3} is 9