Question Number 13200 by Joel577 last updated on 16/May/17
$$\sqrt[{\sqrt[{\sqrt[{\sqrt{\mathrm{3}}}]{\mathrm{2}}}]{\mathrm{5}}}]{\mathrm{6}}\:=\:{x} \\ $$$$\mathrm{How}\:\mathrm{to}\:\mathrm{write}\:{x}\:\mathrm{in}\:\mathrm{standard}\:\mathrm{form}? \\ $$
Answered by ajfour last updated on 16/May/17
![x=6^([(1/5^(((1/2^(1/(√3)) ))) )])](Q13202.png)
$${x}=\mathrm{6}^{\left[\frac{\mathrm{1}}{\mathrm{5}^{\left(\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{1}/\sqrt{\mathrm{3}}} }\right)} }\right]} \: \\ $$
Answered by mrW1 last updated on 16/May/17
$${x}=\mathrm{6}^{\frac{\mathrm{1}}{\mathrm{5}^{\frac{\mathrm{1}}{\mathrm{2}^{\frac{\mathrm{1}}{\mathrm{3}^{\frac{\mathrm{1}}{\mathrm{2}}} }} }} }} \\ $$