Negative Exponents: Solve the Problem and Figure it Out

[Circe]

I hope I'm doing this correctly!

I'm having problems understanding negative exponents and how they work...

I have this problem, (x^-2)/(x^-2 + y^-2)

I don't understand how the answer could be, (y^2)/(x^2 + y^2)..

Maybe I'm doing something incorrectly? :/

 

[chisigma]

I hope I'm doing this correctly!

I'm having problems understanding negative exponents and how they work...

I have this problem, (x^-2)/(x^-2 + y^-2)

I don't understand how the answer could be, (y^2)/(x^2 + y^2)..

Maybe I'm doing something incorrectly? :/

welcome on MHB Circe!...

For the solution is sufficient the substitution $\displaystyle x^{- 2} = \frac{1}{x^{2}}$ and $\displaystyle y^{- 2} = \frac{1}{y^{2}}$ ...

Kind regards

$\chi$ $\sigma$

 

[MarkFL]

Try multiplying the expression by:

$$\frac{x^2y^2}{x^2y^2}$$

And see what you get...:D