Juxtaposition

Algebra Level 2

True or False?

$\Large 2^{2^4} = 2^{4^2} = 4^{2^2}$

False True

2 solutions

Tom Engelsman
Nov 21, 2016

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

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

$4^{2^2} = 4^{4} = (2^2)^{4} = 2^{8}.$

So the answer is false since $2^{8} < 2^{16}$ .

Biswajit Barik
Dec 12, 2016

You don't need to show that it is unequal just see the indices that it is unequal