it's 46 to the power 999 and 20 to the power 999. so please do not be confused.

Log in to add a comment

it's 46 to the power 999 and 20 to the power 999. so please do not be confused.

Log in to add a comment

As 26 is divisible by 13 then 26000 is also divisible by 13 .

26000÷13 = 2000

I hope this would help you

using binomial expension

(20+26)^999 = 999C0(20)^999 + 999C1{(20)^998}(26) + 999C2{(20)^997}(26)^2 + ------------------- + 999C999(26)^999

(20+26)^999 = 20^999 + 26[999C1(20)^998 + 999C2{(20)^997}(26) + -------------- + 999C999(26)^998]

46^999 = 20^999 + 26(K) {K = 999C1(20)^998 + -------- + 999C999(26)^998}

46^999 - 20^999 = 26(K) (26 = is a factor of 13)

hence 46^999 - 20^999 is divisible by 13

i hope you will understand