What is sqrt(2^{6^{2^{1^{4^4)}}}} ?

The solution to sqrt(2^{6^{2^{1^{4^4)}}}} is 262144

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simplify sqrt(2^{6^{2^{1^{4^4)}}}}

simplify

2^{6^{2^{1^{4^{4}}}}}

262144

Solution steps

2^{6^{2^{1^{4^{4}}}}}

6^{2^{1^{4^{4}}}} = 36

= 2^{36}

Apply radical rule:

2^{36} = 2^{\frac{36}{2}}

= 2^{\frac{36}{2}}

Divide the numbers:

\frac{36}{2} = 18

= 2^{18}

2^{18} = 262144

= 262144

\frac{e ^{- x}}{e ^{2 x}}

4.2 \cdot 1 0^{- 1}

[(1 0^{- \frac{2}{3}})^{6}]^{- \frac{3}{4}}

5 e^{- 4 x}

(229.7)^{2}

What is sqrt(2^{6^{2^{1^{4^4)}}}} ?
The solution to sqrt(2^{6^{2^{1^{4^4)}}}} is 262144