Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-3 Multipying Powers with the Same Base - Practice and Problem-Solving Exercises: 28

Answer

$\frac{-240m^{3}}{r}$

Work Step by Step

Multiply the coefficients : $-240m^{2}r^{3}r^{-4}m$ This is equivalent to : $-240m^{2}mr^{3}r^{-4}$ This becomes : $-240m^{2+1}r^{3-4}$ ,since the exponents are added while bases are the same Final result : $-240m^{3}r^{-1}$ Now $r^{-1} = \frac{1}{r}$ Hence $-240m^{3}r^{-1} = \frac{-240m^{3}}{r}$
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