What is the remainder when we divide 570 - 770 by 24 ?

Rule =

If n is odd then, aⁿ + bⁿ is divisible by (a - b)

Given, 5⁷⁰ + 7⁷⁰

= 25³⁵ + 49³⁵

Here n = 35, which is an odd number.

= 25³⁵ + 49³⁵ is divisible by (49 + 25) = 24

so the remainder when 5⁷⁰ + 7⁷⁰ is divisible by 24 is = 0