What is \sqrt[3]{a^{a^{33}}} ?

The solution to \sqrt[3]{a^{a^{33}}} is a^{(a^{33})/3}

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simplify \sqrt[3]{a^{a^{33}}}

simplify

a^{\frac{a ^{33}}{3}}

Solution steps

Apply radical rule:

= (a^{a^{33}})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= a^{a^{33} \frac{1}{3}}

Simplify

a^{33} \frac{1}{3} : \frac{a ^{33}}{3}

= a^{\frac{a ^{33}}{3}}

8.4 \cdot 3.4 \cdot 1 0^{- 3}

4 2^{^{'}}

3 (\frac{π}{3})^{2}

(u^{9} v^{7}) (u^{6} v^{7})

e^{- 0.024 \cdot \frac{2}{12}}

What is \sqrt[3]{a^{a^{33}}} ?
The solution to \sqrt[3]{a^{a^{33}}} is a^{(a^{33})/3}