Question 292981
{{{w=c*r^(-1/2)^""}}} Start with the given equation.



{{{w/c=r^(-1/2)^""}}} Divide both sides by 'c'



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



{{{w/c=1/sqrt(r)}}} Rewrite {{{r^(1/2)^""}}} into {{{sqrt(r)}}} (ie convert to radical notation)



{{{w*sqrt(r)=c}}} Cross multiply



{{{sqrt(r)=c/w}}} Divide both sides by 'w'



{{{r=(c/w)^2}}} Square both sides to isolate 'r'.



So the solution is {{{r=(c/w)^2}}} which can also be written as {{{r=(c^2)/(w^2)}}}