Solved: Suppose that in standard factored form a = pe1 1 pe2 2 pek k , where k is a

Chapter 4, Problem 38

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Suppose that in standard factored form a = pe1 1 pe2 2 pek k , where k is a positive integer; p1, p2,..., pk are prime numbers; and e1, e2,..., ek are positive integers. a. What is the standard factored form for a2? b. Find the least positive integer n such that 25 352 73 n is a perfect square. Write the resulting product as a perfect square. c. Find the least positive integer m such that 22 35 711m is a perfect square. Write the resulting product as a perfect square.

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