College Algebra CLEP Prep Practice Exam

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What exponent makes 5x2y3 equivalent to 25xy6?

  1. 2/3

  2. 3/2

  3. 2/5

  4. 5/2

The correct answer is: 5/2

Starting with 5x2y3, we can see that there are 2 factors of 5 and 2 factors of x in the expression. In order for it to be equivalent to 25xy6, we need to have 25 as the coefficient and 1 factor of y in the expression. If we raise 5 to the power of 2, we get 25. And if we raise x to the power of 1, we get x. This means that 5x2y3 when raised to the power of 2/1 is equivalent to 25xy6. This shows that the exponent that makes 5x2y3 equivalent to 25xy6 is 2/1 or simply 2, making the correct answer D. Option A is incorrect because 2/3 would not result in a whole number exponent,

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