Like what you saw?
Create FREE Account and:
 Watch all FREE content in 21 subjects(388 videos for 23 hours)
 FREE advice on how to get better grades at school from an expert
 Attend and watch FREE live webinar on useful topics
Rational Exponents with Negative Coefficients  Problem 1
Carl Horowitz
Carl Horowitz
University of Michigan
Runs his own tutoring company
Carl taught upperlevel 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 5Â³ with a negative out in front, the negative comes after the exponent so we have 5Â³. 5Â³ 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.
Please enter your name.
Are you sure you want to delete this comment?
Carl Horowitz
B.S. in Mathematics University of Michigan
He knows how to make difficult math concepts easy for everyone to understand. He speaks at a steady pace and his stepbystep explanations are easy to follow.
i love you you are the best, ive spent 3 hours trying to understand probability and this is making sense now finally”
BRIGHTSTORM IS A REVOLUTION !!!”
because of you i ve got a 100/100 in my test thanks”
Sample Problems (5)
Need help with a problem?
Watch expert teachers solve similar problems.

Rational Exponents with Negative Coefficients
Problem 1 3,336 viewsSimplify:
25^{3⁄2} 
Rational Exponents with Negative Coefficients
Problem 2 2,859 viewsSimplify:
(27)^{5⁄3} 
Rational Exponents with Negative Coefficients
Problem 3 2,749 viewsSimplify:
(125)^{⅔} 
Rational Exponents with Negative Coefficients
Problem 4 679 views 
Rational Exponents with Negative Coefficients
Problem 5 605 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete