A device of the present invention is an exponential calculation device for calculating x{circumflex over ( )}(a/b) (where a and b are each an integer constant) for a given input value of x. The device includes: an input control section for outputting a value of x′, wherein x′=x when x≦A (where A is a threshold value within a variable range of x) and x′=x/2{circumflex over ( )}b when x>A; a core section for outputting a value of z′=x′{circumflex over ( )}(a/b); and an output control section for outputting a value of z, wherein z=z′ when x≦A and z=z′*2{circumflex over ( )}a when x>A.