Question

3) The expression (x12)(y-13)(x-5)(y4
equivalent xmyn. What is the value of n

Answer 1

Therefore the value of n is

`n=-9`

Explanation:

Given:

`x^(12)y^(-13)x^(-5)y^(4)=x^(m)y^(n)`

To Find:

n = ?

Solution:

Using identity

`1.\ x^(a)x^(b)=x^(a+b)`

`2.\ x^(a)x^(-b)=x^(a-b)`

`3.\ x^(-a)x^(b)=x^(-a+b)`

Therefore

`x^((12-5))y^((-13+4))=x^(m)y^(n)`

`x^(7)y^(-9)=x^(m)y^(n)`

Now on Comparing and Equality Property we get

`m =7\\n=-9`

Therefore the value of n is

`n=-9`