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Question Number 13200 by Joel577 last updated on 16/May/17

(6)^(1/(5)^(1/(2)^(1/(√3)) ) )  = x  How to write x in standard form?

$$\sqrt[{\sqrt[{\sqrt[{\sqrt{\mathrm{3}}}]{\mathrm{2}}}]{\mathrm{5}}}]{\mathrm{6}}\:=\:{x} \\ $$$$\mathrm{How}\:\mathrm{to}\:\mathrm{write}\:{x}\:\mathrm{in}\:\mathrm{standard}\:\mathrm{form}? \\ $$

Answered by ajfour last updated on 16/May/17

x=6^([(1/5^(((1/2^(1/(√3)) ))) )])

$${x}=\mathrm{6}^{\left[\frac{\mathrm{1}}{\mathrm{5}^{\left(\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{1}/\sqrt{\mathrm{3}}} }\right)} }\right]} \: \\ $$

Answered by mrW1 last updated on 16/May/17

x=6^(1/5^(1/2^(1/3^(1/2) ) ) )

$${x}=\mathrm{6}^{\frac{\mathrm{1}}{\mathrm{5}^{\frac{\mathrm{1}}{\mathrm{2}^{\frac{\mathrm{1}}{\mathrm{3}^{\frac{\mathrm{1}}{\mathrm{2}}} }} }} }} \\ $$

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