(-0.4x^2/0.5y^3)^2 simplify the expression using the quotient to a power property
$$\left(\frac{-0.4x^2}{0.5y^3}\right)^2 \\\\ =\left(\frac{-4\times 2 x^2}{10\times y^3}\right)^2 \\\\ =\left(\frac{-4 x^2}{5\times y^3}\right)^2 \\\\ =\frac{16 x^4}{25y^6} \\\\$$