Simplify

(5x^-2)-(3y^-1)
---------------
(x^-1)+(y^-1)

(1)

-------------
25x^2 + 22xy - 3y

I get (5x^-1)-3!

I do not understand how you arrived @ this answer. Can you please explain. Thank you

sure! :)

remember that we can add/subtract exponents just like normal numbers.

First put everything in the numerator and then add up all the exponents.

(5x^-2)-(3y^-1)
---------------
(x^-1)+(y^-1)

(5x^-2)+(x^1)-(3y^-1)+(y^1)

now add: (5x^-1)-3

x^=-2+1=-1
y^=-1+1=0 or goes away

Does this help?

There is no division here? Is this all adding and subtracting?

I thought there was division too. So what is the final answer?

you can do it by division or add/subtract. I did it by add/substract because its easier.

First you put all the terms in the numerator. Then you combine terms and add/substract exponents to get your answer.

Follow the steps above and you will see the answer.

Do you get it now?