User:Upquark/sandbox

${^{n}a}={a^{a^{\cdot ^{\cdot ^{a}}}}}$

${2^{4}}=2\times 2\times 2\times 2=16$

${^{4}2}={2^{2^{2^{2}}}}={2^{2^{4}}}={2^{16}}=65536$

${3^{4}}=3\times 3\times 3\times 3=81$

${^{4}3}={3^{3^{3^{3}}}}={3^{3^{27}}}={3^{7625597484987}}\approx {10^{3638334640024}}$

$3\uparrow 2={3^{2}}$

$3\uparrow \uparrow 2={^{2}3}={3^{3^{3}}}$

$2\uparrow \uparrow \uparrow 4=$

${\frac {^{2}5}{^{3}2}}$ ${\frac {^{4}2}{^{2}3}}$