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Popular >

simplify \sqrt[3]{3^{3^{31}}}

Solution

simplify

Solution

3^{3^{30}}

Solution steps

Apply radical rule:

= (3^{3^{31}})^{\frac{1}{3}}

Apply exponent rule:

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

= 3^{3^{31} \cdot \frac{1}{3}}

3^{31} \cdot \frac{1}{3} = 3^{30}

= 3^{3^{30}}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{3^{3^{31}}} ?
The solution to \sqrt[3]{3^{3^{31}}} is 3^{3^{30}}