Answer
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}$
