Fun Num II

Algebra Level 2

Which is greatest; $2^{2^{3}}$ , $2^{3^{2}}$ or $3^{2^{2}}$ ?

2^{2^{3}}

2^{3^{2}}

3^{2^{2}}

1 solution

Ram Mohith
May 19, 2018

$2^{2^3} = 2^8 = 256$

$2^{3^2} = 2^9 = 512$

$3^{2^2} = 3^4 = 81$

Therefore, $2^{3^2}$ is the greatest .