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What is the smallest non-negative integr z such that [r]= [116^129 +60^40] in Z7? Justify...

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What is the smallest non-negative integr z such that [r]= [116^129 +60^40] in Z7? Justify your answer.Hint: Find out simple numbers that 116 and 60 are congruent to modulo 7, and try to write the powers 129 and 40 in terms of 6.

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