Question 146957
{{{f(x)=8x^2}}}
{{{g(x)=1/x^2}}}
The exponent 2 just means multiply twice,
{{{8x^2=8*x*x}}}
It's just shorthand to keep the equations more manageable.
Don't let that distract you.
Also, remember that
{{{1/x^2=x^-2}}} 
Now we can start,
{{{f+g=8x^2+1/x^2}}}
{{{f*g=8x^2*(1/x^2)=8x^2*x^(-2)=8x^(2-2)=8}}}
{{{f-g=8x^2-1/x^2}}}
{{{f/g=8x^2/(1/x^2)=8x^2*x^2=8x^4}}}