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Answer
Answer is 21 and not 1.
8^24 = 64 ^12
64^12/25 = 14^12/25 = 196^6/25 =(-4)^6/25
=4^6/25
Since calculator is allowed , or simply 4^6 = 4096/25
Remainder is 21.
For that theorem to work 25 should have been prime.
Answer
Download formula and concept sheet for number systems, it will very useful to in solving these type of questions
Answer
21 IS CORRECT WRITE DOWN THE QSTN AS 2^72 NOW IT CAN BE WRITTEN AS 1024 MULTIPLIED 7TIMES*4 SO IT CAN BE WRITTEN AS (-1)^7*4 SO -4 IS THE REMAINDER OR 21 IS THE REMAINDER
Answer
Answer will be 21 ...here 25 is not prime ..for fermats theorem to be applicable a and ap should be coprime and p should be prime
