Suppose that in standard factored form a = 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.
c. Find the least positive integer m such that 22 • 35 • 7 • 11 • m is a perfect square. Write the resulting product as a perfect square.
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