Fixed point power function for fractional values

Question

I am using below Matlab code to calculate power function i.e. without using built-in function. My requirement is - What improvement/ suggestion make the below function support fractional base and exponential values to calculate power? Thank you

b = [-32:32]; % example input values
e = [-3:3];   % example input values but doesn't support fraction's
    power_function(b,e)
        p = 1;
        if e < 0
            e = abs(e);
            multiplier = 1/b;
        else
            multiplier = b;
        end
        
        for k = 1:e
            p(:) = p * multiplier;
        end