Question

simplify using only positive exponents x^-3+y^-3 over x^-2+y^-2

Answer 1

x^-3 = 1/x³
Can you do similarly for the rest?

Answer 2

what do you do after you've changed it to 1/x^3 +1/y^3 over 1/x^2+1/y^2

Answer 3

if that is even right

Answer 4

\[((2+(x/y)^{3}+(y/x)^{3})\div((x+y+x(x/y)^{2}+y(y/x)^{2}\]
This was obtained by multiplying numerator an denominator by:
\[x ^{3}+y ^{3}\]

Answer 5

Can you make common denominator for them:
1/x^3 +1/y^3

Answer 6

also common denom.
1/x^2 + 1/y^2

Answer 7

There might be cleverer ways to do this, but I usually just go with the grind it out method....\[\frac{x^{-3}+y^{-3}} { x^{-2}+y^{-2} }=\frac{\frac{1}{x^3}+\frac{1}{y^3}}{\frac{1}{x^2}+\frac{1}{y^2}}=\frac{\frac{y^3+x^3}{x^3y^3}}{\frac{y^2+x^2}{x^2y^2}}=\frac{y^3+x^3}{xy(y^2+x^2)}\]