Answer:
Therefore the value of n is
[tex]n=-9[/tex]
Step-by-step explanation:
Given:
[tex]x^{12}y^{-13}x^{-5}y^{4}=x^{m}y^{n}[/tex]
To Find:
n = ?
Solution:
Using identity
[tex]1.\ x^{a}x^{b}=x^{a+b}[/tex]
[tex]2.\ x^{a}x^{-b}=x^{a-b}[/tex]
[tex]3.\ x^{-a}x^{b}=x^{-a+b}[/tex]
Therefore
[tex]x^{(12-5)}y^{(-13+4)}=x^{m}y^{n}[/tex]
[tex]x^{7}y^{-9}=x^{m}y^{n}[/tex]
Now on Comparing and Equality Property we get
[tex]m =7\\n=-9[/tex]
Therefore the value of n is
[tex]n=-9[/tex]
