(e) $8^{1 / 3}$;
(i) $(2 x)^{2}$;
(l) $\left(\frac{4}{5}\right)^{2}$;
(f) $2^{4 / 2}$;
(j) $(3 x y)^{4}$;
(m) $125^{2 / 3}$.
(g) $7^{3 / 4}$;
(k) $\left(\frac{3}{x}\right)^{3}$;
(h) $9^{0,5}$;

Step 1 ：First, we calculate the cube root of 8, which is \(8^{1 / 3} = 2.0\)

Step 2 ：Next, we square 2x, which is \((2 x)^{2} = 4x^2\)

Step 3 ：Then, we square 4/5, which is \(\left(\frac{4}{5}\right)^{2} = 0.64\)

Step 4 ：After that, we calculate the square root of 2 to the power of 4, which is \(2^{4 / 2} = 4.0\)

Step 5 ：Next, we raise 3xy to the power of 4, which is \((3 x y)^{4} = 81x^4y^4\)

Step 6 ：Then, we calculate the cube root of 125 squared, which is \(125^{2 / 3} = 25.0\)

Step 7 ：After that, we calculate the fourth root of 7 cubed, which is \(7^{3 / 4} = 4.30\)

Step 8 ：Next, we cube 3/x, which is \(\left(\frac{3}{x}\right)^{3} = 27/x^3\)

Step 9 ：Finally, we calculate the square root of 9, which is \(9^{0.5} = 3.0\)

Step 10 ：\(\boxed{Final Answer: (e) 2.0, (i) 4x^2, (l) 0.64, (f) 4.0, (j) 81x^4y^4, (m) 25.0, (g) 4.30, (k) 27/x^3, (h) 3.0}\)