Solve the equation for r

w=Cr^-2

To solve the equation w = Cr^(-2) for r, we need to isolate the variable r.

Step 1: Begin by multiplying both sides of the equation by r^2 to get rid of the negative exponent:
w * r^2 = C

Step 2: Divide both sides of the equation by w to solve for r:
r^2 = C / w

Step 3: Take the square root of both sides to eliminate the square on the left side:
√(r^2) = √(C / w)

Step 4: Simplify the equation:
|r| = √(C / w)

Therefore, the solution for r is r = ± √(C / w). Note that r can be either positive or negative, as indicated by the absolute value symbol (|r|).