Question 177286
{{{w=Cr^(-2)}}} Start with the given equation.



{{{w=C(1/r^2)}}} Rewrite {{{r^(-2)}}} as {{{1/r^2}}}



{{{w=C/r^2}}} Multiply.



{{{wr^2=C}}} Multiply both sides by {{{r^2}}}



{{{r^2=C/w}}} Divide both sides by "w".



{{{r=sqrt(C/w)}}} Take the square root of both sides. Note: since I'm assuming that "r" is the distance, this means that we're only considering the positive square root.



So the answer is {{{r=sqrt(C/w)}}}