self Maths Puzzle

find the remainder when 8^643 divided by 132????

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self Other Question

remainder when 63^83 +8^83 divided by 49??? Approach???? Smallest among:- 1. 5^(1/2), 2. 6^(1/3), 3. 8^(1/4), 4. 12^(1/5)
Need the approach, tried making same powers but couldn't get it.