Try these:
x = linspace(-10, 10, 150);
y = (exp(sqrt(x)))./(x.*x - x.*(exp(x))).^(1/3);
figure
plot(x, real(y), x, imag(y))
grid
legend('\Re{y}', '\Im{y}')
y = @(x) (exp(sqrt(x)))./(x.*x - x.*(exp(x))).^(1/3);
figure
fplot(@(x)real(y(x)), [-10 10])
hold on
fplot(@(x)imag(y(x)), [-10 10])
hold off
grid
legend('\Re{y}', '\Im{y}')
It is necessary to use element-wise operations to calculate ‘y’. See Array vs. Matrix Operations for details.