Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - Chapter Review - Page 475: 19


m=3 n=6

Work Step by Step

You have the equation $x^{2}$ *$y^{5}$ $\times$$x^{m}$*$y^{n}$=$x^{5}$*$y^{11}$.Solve for m and n: $x^{2+m}$ $\times$ $y^{5+n}$=$x^{5}$*$y^{11}$ multiply the powers with the same base to add the exponents- 2+m=5 and 5+n=11 - solve both the equations individually- 2+m=5 -subtract 2 from both sides- m=3 5+n=11 - subtract 5 from both sides- n=6 M=3 and N=6 so the equation is $x^{2}$ *$y^{5}$ $\times$$x^{3}$*$y^{6}$=$x^{5}$*$y^{11}$
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