Question Number 151533 by mathdanisur last updated on 21/Aug/21
$$\mathrm{Compare}: \\ $$$$\mathrm{2}^{\mathrm{2}^{\mathrm{2}} } \:\:\:\mathrm{and}\:\:\:\mathrm{3}^{\mathrm{3}^{\mathrm{3}} } \\ $$
Commented by Rasheed.Sindhi last updated on 21/Aug/21
$$\mathrm{3}^{\mathrm{3}^{\mathrm{3}} } =\left(\mathrm{2}+\mathrm{1}\right)^{\left(\mathrm{2}+\mathrm{1}\right)^{\left(\mathrm{2}+\mathrm{1}\right)} } \\ $$
Commented by MJS_new last updated on 21/Aug/21
$$\mathrm{yes}. \\ $$$$\mathrm{but}\:\mathrm{is}\:\mathrm{2}^{\mathrm{2}^{\mathrm{2}} } \:\mathrm{smaller}\:\mathrm{or}\:\mathrm{larger}\:\mathrm{than}\:\left(\mathrm{2}+\mathrm{1}\right)^{\left(\mathrm{2}+\mathrm{1}\right)^{\left(\mathrm{2}+\mathrm{1}\right)} } ? \\ $$
Commented by MJS_new last updated on 21/Aug/21
$$\mathrm{seriously}??? \\ $$
Commented by MJS_new last updated on 21/Aug/21
$$\mathrm{what}\:\mathrm{do}\:{you}\:\mathrm{think}\:\mathrm{which}\:\mathrm{is}\:\mathrm{larger}? \\ $$
Commented by mathdanisur last updated on 21/Aug/21
$$\mathrm{Sorry}\:\mathrm{this}\:\mathrm{no}\:\Uparrow\:\mathrm{I}\:\mathrm{shared} \\ $$
Commented by MJS_new last updated on 21/Aug/21
$$\mathrm{yes},\:\mathrm{obviously}.\:\mathrm{only}\:\mathrm{people}\:\mathrm{like}\:\mathrm{you}\:\mathrm{share} \\ $$$$\mathrm{questions}\:\mathrm{like}\:\mathrm{this}\:\mathrm{one}… \\ $$
Commented by Rasheed.Sindhi last updated on 22/Aug/21
$${Actually}\:{mathdanisur}\:{ser}\:{we}\:{can}'{t} \\ $$$${expect}\:{such}\:{obvious}\:{question}\:{by} \\ $$$${a}\:{senior}\:{member}\:{such}\:{as}\:{you}, \\ $$$${specially}\:{when}\:{he}\:{had}\:{asked}\:{some}\: \\ $$$${high}\:{level}\:\&\:{hard}\:{questions}\:{before} \\ $$$${this}\:{one}.\left({however}\:{I}\:{confess}\:{that}\:{many}\:{questions}\right. \\ $$$${by}\:{you}\:{I}\:{liked}\:{very}\:{much},\:{specially} \\ $$$$\left.{I}\:{liked}\:{variety}\:{in}\:{your}\:{questions}!\right) \\ $$
Commented by Rasheed.Sindhi last updated on 22/Aug/21
$$\mathrm{You}'\mathrm{re}\:\mathrm{welcome}! \\ $$
Commented by mathdanisur last updated on 22/Aug/21
$${Thank}\:{you}\:{so}\:{much}\:{dear}\:{ser}\:{Rasheed}.{S} \\ $$
Commented by mathdanisur last updated on 22/Aug/21
$$\mathrm{Thank}\:\mathrm{you}\:\mathrm{very}\:\mathrm{much},\:\mathrm{your}\:\mathrm{solutions} \\ $$$$\mathrm{can}\:\mathrm{be}\:\mathrm{presented}\:\mathrm{as}\:\mathrm{usual} \\ $$