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Popular >

simplify \sqrt[12]{(216)^4}

Solution

simplify

Solution

6

Solution steps

Apply radical rule:

= ((216)^{4})^{\frac{1}{12}}

Apply exponent rule:

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

= (216)^{4 \cdot \frac{1}{12}}

4 \cdot \frac{1}{12} = \frac{1}{3}

= (216)^{\frac{1}{3}}

Factor the number:

216 = 6^{3}

Apply radical rule:

= 6

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Frequently Asked Questions (FAQ)

What is \sqrt[12]{(216)^4} ?
The solution to \sqrt[12]{(216)^4} is 6