New posts in Number Comparison

Prove that $10^{340} < \frac{5^{496}}{1985}$

Which number is greater, $11^{11}$ or $9^{12}$?

Which is larger, $70^{71}$ or $71^{70}$?

Is $202^{303}$ greater or $303^{202}$?

How can I prove that $2^{\sqrt 7}$ is bigger than $5$?

Which is greater, $98^{99} $ or $ 99^{98}$?

How to find out the greater number from $15^{1/20}$ and $20^{1/15}$?

How to determine without calculator which is bigger, $\left(\frac{1}{2}\right)^{\frac{1}{3}}$ or $\left(\frac{1}{3}\right)^{\frac{1}{2}}$

$211!$ or $106^{211}$:Which is greater?

Which is greater, $300 !$ or $(300^{300})^\frac {1}{2}$?