70^71 is greater than 71^70, here is the explanation:
Let's assume 71^70 is greater than 70^71 , if this is a case than (71^70 / 70^71) must be greater than or equal to 1.
One can write expression as: (70+1)^70 / (70^70 * 70) ,here 70^70 * 70 =70^71
= ((70 + 1 / 70) ^ 70) * 1 / 70)
=((1+1/70)^70 *(1/70)
now 1/70 =0.014 approximately and the only way it could be greater that 1 is to multiply is by 100.
(1+1/70)^70 can't be 100. Hence our assumption is wrong and 70^71 is greater than 71^70.
