12. [1.67/8.37 Points] DETAILS Find 55 307 MY NOTES EPPDISCMATH5 8.4.018. (mod 721) using techniques described in Example 8.4.4 and Example 8.4.5. First compute values of 55k mod 721 for k = 1, 2, 4, 8, 256. For instance, 5532 mod 721 = 614 By Corollary 8.4.4 , if k and m are positive integers, then (55k · 55m) mod 721 = (55k mod 721) · 307 25632+ 16 + 2 + 1 Given that 307 = 256 + 32 + 16 + 2 + 1, 55 Complete the calculations to conclude that 55 mod 721 = 55 mod 721. 307 mod 721 = Need Help? Read It Submit Answer PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER × and 55256 mod 721 = 460 mod 721

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