If Question like this appears in GMAT. and we are asked to find the last two digits this could be used
Rule Express Even numbers in the form ( 2^10) ^even which will have last two digits as 76 or ( 2^10) ^odd where last two digits is 24
For Odd numbers Express them 3^4k, 7 ^ 4k, 9 ^2k
Question was 6^17
So (2^ 17 ) ( 3^17)
= {(2^10)^1 * 2^7} { (3^4)^3 * 3^5}
So last two digits (2^10)^1= 24
So last two digits 2^7= 28
Last two digits of this number (3^4)^3 = (81)^3= last
...
Rule Express Even numbers in the form ( 2^10) ^even which will have last two digits as 76 or ( 2^10) ^odd where last two digits is 24
For Odd numbers Express them 3^4k, 7 ^ 4k, 9 ^2k
Question was 6^17
So (2^ 17 ) ( 3^17)
= {(2^10)^1 * 2^7} { (3^4)^3 * 3^5}
So last two digits (2^10)^1= 24
So last two digits 2^7= 28
Last two digits of this number (3^4)^3 = (81)^3= last
...






