$(10$ points$)$ For any simple closed curve $C$ in $\frac{R^2}{\frac{?}{?}}\{(0,0)\},$ let $L(C)$ denote the outward flux of

$F(x,y)=\frac{x}{(x^2+y^2{)}^3}i+\frac{y}{(x^2+y^2{)}^3}j$

across $C.$ If A denotes the circle $(x-4{)}^2+y^2=100$ and $B$ denotes the curve $x^{\frac{2}{3}}+y^{\frac{2}{3}}=1,$ determine which is bigger, $L(A)$ or $L(B).$ Be sure to justify your answer.