begin{document}
begin{tikzpicture}
begin{axis}[
     axis lines = center,
    xlabel = $x$,
    ylabel = {$y$},
    xmax = {4},
    xmin = {-1},
    ymax = {2},
    ymin = {-2},
    legend pos = outer north east
]
addplot [
    domain=-10:10,
    samples=100,
    color=black,
]
{x^(1/2)};
addlegendentry{$y=sqrt{x}$}
addplot [
    domain=-5:5,
    samples=100,
    color=blue,
]
{x^(1/4)};
addlegendentry{$y=x^{frac{1}{4}}$}
end{axis}
end{tikzpicture}
begin{tikzpicture}
begin{axis}[
    axis lines = center,
    xlabel = $x$,
    ylabel = {$y$},
    xmax = {4},
    xmin = {-4},
    ymax = {2},
    ymin = {-2},
    legend pos = north west
]
addplot [
    domain=-10:10,
    samples=100,
    color=black,
]
{x^(1/3)};
addlegendentry{$y=x^{frac{1}{3}}$}
addplot [
    domain=-10:10,
    samples=100,
    color=blue,
]
{x^(1/5)};
addlegendentry{$y=x^{frac{1}{5}}$}
end{axis}
end{tikzpicture}
end{document}