An Investigation into the Order of Difference of Product of Consecutive Integral Perfect Powers

The article established an analysis on the difference of the product of order of integral perfect powers. The proof on the analysis were achieved by the use of property of difference operator, combinatorial technique, mathematical induction principle. The results proved conclusively that if any number of consecutive integers are raised to a positive power k, then the (2k)th difference of the product of the kth power of two consecutive integers is equal to (2k)!