SolutionSince you need to compare \(\frac{x^m}{x^3}=x^(^m ^- ^3 ^)\)with \(x^\frac{m}{3}\). Since the base in both expressions is the same, a good strategy to use to solve this problem is to plug in numbers for m in both expressions and compare them.

You know that m is a multiple of 3, so the least positive integer you can plug in for m is 3.

If m=3, then \(x^( ^m ^- ^3 ^)=1\) and x ^\(\frac{m}{3}\)=x. Since x can be any real number, its relationship to 1 cannot be determined from the information given. This example is sufficient to show that the relationship cannot be determined from the information given. The correct answer is

Choice D.

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Sandy

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