GRE Math : How to find a ratio of exponents

Example Questions

Example Question #1 : How To Find A Ratio Of Exponents

Quantitative Comparison

Quantity A:

Quantity B:

The two quantities are equal.

Quantity A is greater.

The relationship cannot be determined from the information given.

Quantity B is greater.

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 / 4= 45–(–3) = 48. We don't have to finish multiplying out the exponents to see that Quantity B is greater.

Example Question #2 : How To Find A Ratio Of Exponents

If  and  are both rational numbers and , what is ?