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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 ·3·52 ·73 ·n is a perfect square. Write the resulting product as a perfect square.
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Suppose that in standard factored form a = pe1 1 pe2 2 · · · pek k , where k is a positive integer;...
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