In this lesson, you will learn how to simplify quotients of numbers and variables.
Quotient of Powers Property: For all real numbers χ,xnxm=χn−m.
When dividing expressions with the same base, keep the base and subtract the exponent in the denominator (bottom) from the exponent in the numerator (top). When we have problems with different bases, we apply the rule separately for each base. To simplify x7x4, repeated multiplication can be used.
Sample explanations for some of the practice exercises below are available by viewing the following video. Note that there is not always a match between the number of the practice exercise in the video and the number of the practice exercise listed in the following exercise set. However, the practice exercise is the same in both.