Math 446 - Homework # 3 - Cal State LA
Taking the fth power of both sides of 5 p 5 = a=b gives 5 = a5=b5. Hence a5 = 5b 5. Therefore 5 divides the product a = aaaaa. Recall that when a prime divides a product of integers then it must divide at least one of the integers contained in the product. Since 5 is prime we must have that 5 divides a. Therefore a = 5k where k is an integer. ................
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