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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.
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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.
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Sample Problems (5)
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Rational Exponents with Negative Coefficients
Problem 1 3,517 viewsSimplify:
25^{3⁄2} 
Rational Exponents with Negative Coefficients
Problem 2 3,001 viewsSimplify:
(27)^{5⁄3} 
Rational Exponents with Negative Coefficients
Problem 3 2,905 viewsSimplify:
(125)^{⅔} 
Rational Exponents with Negative Coefficients
Problem 4 781 views 
Rational Exponents with Negative Coefficients
Problem 5 700 views
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