[tex]\bf \sqrt{\cfrac{50x^6y^3}{9x^8}}\implies \cfrac{\sqrt{50x^6y^3}}{\sqrt{9x^8}}\qquad
\begin{cases}
50=2\cdot 5\cdot 5\\
\qquad 2\cdot 5^2\\
x^6=x^{3\cdot 2}\\
\qquad (x^3)^2\\
y^3=y^{2+1}\\
\qquad y^2\cdot y^1\\
9=3^2\\
x^8=x^{4\cdot 2}\\
\qquad (x^4)^2
\end{cases}
\\\\\\
\cfrac{\sqrt{2\cdot 5^2(x^3)^2y^2y}}{\sqrt{3^2(x^4)^2}}\implies \cfrac{5x^3y\sqrt{2y}}{3x^4}[/tex]
now, if it's asking "c is the exponent of 'y' outside the root"? well, the exponent of "y" is 1
if it's asking "d is the coefficient of 'x'"? well, the coefficient is 3
