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Popular >

simplify \sqrt[18]{(262144)^2}

Solution

simplify

Solution

4

Solution steps

Apply radical rule:

= ((262144)^{2})^{\frac{1}{18}}

Apply exponent rule:

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

= (262144)^{2 \cdot \frac{1}{18}}

2 \cdot \frac{1}{18} = \frac{1}{9}

= (262144)^{\frac{1}{9}}

Factor the number:

262144 = 4^{9}

Apply radical rule:

= 4

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Frequently Asked Questions (FAQ)

What is \sqrt[18]{(262144)^2} ?
The solution to \sqrt[18]{(262144)^2} is 4