GRE Math : Exponential Ratios

Study concepts, example questions & explanations for GRE Math

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Example Questions

Example Question #1 :Exponential Ratios

Quantitative Comparison

Quantity A:

Quantity B:

Possible Answers:

The two quantities are equal.

The relationship cannot be determined from the information given.

Quantity B is greater.

Quantity A is greater.

Correct answer:

Quantity B is greater.

Explanation:

In Quantity A, we add the exponents because the operation is multiplication, so 45* 4–3= 45+(–3)= 42. In Quantity B, we subtract the exponents because the operation is division, so 45/ 43= 45–(–3)= 48. We don't have to finish multiplying out the exponents to see that Quantity B is greater.

Example Question #2 :Exponential Ratios

Ifandare both rational numbers and, what is?

Possible Answers:

Correct answer:

Explanation:

This question is asking you for the ratio of m to n. To figure it out, the easiest way is to figure out when 4 to an exponent equals 8 to an exponent. The easiest way to do that is to list the first few results of 4 to an exponent and 8 to an exponent and check to see if any match up, before resorting to more drastic means of finding a formula.

And, would you look at that.. Therefore,.

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