(11^3)^-1 mod 13 is computed as (1331) ^ -1 mod 13. Here we need to find the modulo multiplicative inverse of 1331, that is 1331 * Y mod 13 =1. where y is the modulo multiplicative inverse of 1331. We can use the short cut method to find the multiplicative inverse. Divide 1331/13 and the reminder is 5. Now find the multiplicative inverse of 5, that is 5* y mod 13 = 1. Here the value of y should be 8. Only then 5 * 8 mod 13 =1 . Hence we have have found 8 as the Modulo Multiplicative inverse of 1331. You can check 1331 * 8 mod 13 = 1. If you are interested in understanding the short cut for finding modulo multiplicative inverse then visit ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-mzEvIN8BuQ8.html the timestamp is 9:56 for the video in the link