Question

How do you rewrite `1/x^-2` with positive exponents?

Answer 1

As `x^2`

A negative exponent means that the thing is "under the dividing bar".

So `1/x^-2` should be written as `1/(1/x^2)`

And then use the rule of "dividing by a ratio is multiplying by its inverse"

OR:
We could say that every time we change `x`'s from above the bar to below, or the other way around, we change the sign.

So `1/x=1/x^(+1)=x^-1/1=x^-1` and vice versa.

So `1/x^(-2)=x^(+2)/1=x^2`