Like what you saw?
Start your free trial and get immediate access to:
Watch 1-minute preview of this video

or

Get immediate access to:
Your video will begin after this quick intro to Brightstorm.

Rational Exponents with Negative Coefficients - Problem 1 2,976 views

Teacher/Instructor Carl Horowitz
Carl Horowitz

University of Michigan
Runs his own tutoring company

Carl taught upper-level math in several schools and currently runs his own tutoring company. He bets that no one can beat his love for intensive outdoor activities!

Simplify an expression with a rational exponent and a negative coefficient. So what we need to deal with here is figure out a; what the 3/2 is telling us and also where this negative sign is in terms of being associated with that power.

So order of operations tells us to do exponents first and which tells me that this negative is not associated with that exponent. So now what we have to do is figure out what 25 to the 3/2 is. I always do the root first, power over roots so that tells me the denominator, this is just going to be negative 25 to the 1/2 to the third with the negative out in front. 25 to the 1/2 is the same thing as the square root of 25, so this is just 5³ with a negative out in front, the negative comes after the exponent so we have -5³. 5³ is 125 leaving us with -125.

So making sure we have our negative in the right spot and then going through our rules of rational exponents, power over root to solve out an equation.

Stuck on a Math Problem?

Ask Genie for a step-by-step solution