Problem

Suppose that in standard factored form a = where k is a positive integer; p1, p2, …, pk a...

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 a3?
b. Find the least positive integer k such that 24 • 35 • 7 • 112 • k is a perfect cube (i.e., equals an integer to the third power). Write the resulting product as a perfect cube.

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Solutions For Problems in Chapter 3.3

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