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Algebra Level 1

$\huge \color{#3D99F6}{2^{3^{2^{1^{4^{3}}}}}}=?$

64^{64}

lying between 1000 &

64^{64}

None of the given. 512 64

1 solution

Sravanth C.
May 9, 2015

Given, $\huge \color{#EC7300}{2^{3^{2^{1^{4^{3}}}}}}=?$

$= \huge \color{#3D99F6}{2^{9^{1^{4^{3}}}}}$

$= \huge \color{#20A900}{2^{9^{1^{64}}}}$

$= \huge \color{#D61F06}{2^{9^{1}}}$

Which is nothing but, $= \huge \color{#624F41}{2^{9}=\boxed{512}}$

There was no need to find 4^3 :-)

prakhar mishra - 5 years, 11 months ago

Yeah. You're right. $\huge\ddot\smile$

Sravanth C. - 5 years, 11 months ago