Note that we can write 8^200 as (8^2)^100
And we can write 5^300 as (5^3)^100 .... so we have......
(8^2)^100 ??? (5^3)^100 ....and we can simplify this as......
(64)^100 ??? (125)^100
And it's obvious that ......
(64)^100 < (125)^100
So....it's true
8^200 < 5^300 !!!!!!