Question

Find the greatest:

$2^{300},3^{200}$.

Answer 1

We have,

$2^{300}$

$=(2^3{)}^{100}$

$=8^{100}$.

And

$3^{200}$

$=(3^2{)}^{100}$

$=9^{100}$.

So it is clear that $3^{200}>2^{300}$.