Problem 5. Which number is greater $50^{50}$ or $339^{33}$?
Solution. We immediately have,

$$
50^{50}>49^{50}=\left(7^{2}\right)^{50}=7^{100}>7^{99}=\left(7^{3}\right)^{33}=343^{33}>339^{33}
$$

## VIII section