How to simplify the following equation:
My approach was the following:
But how to remove the exponent from ?
+26367 $$\begin{array}{rcl}
10 &=& x^{\frac{1}{3}}y^{\frac{2}{3}} \qquad | \qquad 1^3\\\\
10^3 &=& x^{\frac{3}{3}}y^{2\cdot\frac{3}{3}} \\\\
10^3 &=& xy^2 \\\\
xy^2 &=& 10^3 \\\\
xy^2 &=& 10^2\cdot 10 \qquad | \qquad :x \\\\
y^2 &=& 10^2\cdot \dfrac{10}{x} \qquad | \qquad \sqrt{} \\\\
\mathbf{y} & \mathbf{=} & \mathbf{10\cdot \sqrt{ \dfrac{10}{x} }}\\\\
\end{array}$$
+26367 $$\begin{array}{rcl}
10 &=& x^{\frac{1}{3}}y^{\frac{2}{3}} \qquad | \qquad 1^3\\\\
10^3 &=& x^{\frac{3}{3}}y^{2\cdot\frac{3}{3}} \\\\
10^3 &=& xy^2 \\\\
xy^2 &=& 10^3 \\\\
xy^2 &=& 10^2\cdot 10 \qquad | \qquad :x \\\\
y^2 &=& 10^2\cdot \dfrac{10}{x} \qquad | \qquad \sqrt{} \\\\
\mathbf{y} & \mathbf{=} & \mathbf{10\cdot \sqrt{ \dfrac{10}{x} }}\\\\
\end{array}$$
