# Powers of integers with arithmetic tables

## Main Article Content

## Abstract

Any powers of $11$ are easily obtained from the Pascal triangle. In this work we study powering and negative powering of any $k$ digit integers by means of certain arithmetic tables.

## Article Details

## References

[1] G. Farkas and G. Kallos, Prime numbers in generalized Pascal triangles, Acta Technica Jaurinensis 1 (2008), 109–117. Google Scholar

[2] J. Jo, Y. Oh, and E. Choi, Arithmetic matrix of quadratic polynomial with negative exponent by Pascal matrix, J. Alg and Appl. Math. 17 (2019), 67–90. Google Scholar

[3] G. Kallos, The generalization of Pascal’s triangle from algebraic point of view, Acta Acad. Paedagogicae Agriensis, Sectio Mathematicae, 24 (1997), 11–18. Google Scholar

[4] G. Kallos, A Generalization of Pascal’s triangle using powers of base numbers, Ann. Math. Blaise Pascal 13 (2006), 1–15. Google Scholar

[5] C. J. Lacke, Powers of eleven in Pascal’s triangle, Mathematics and Computer Education (2002), 28–30. Google Scholar

[6] L. LOW, Even more on Pascal’s triangles and powers of 11, Math. Teacher 59 (1966), 461–463. Google Scholar

[7] R.L. Morton, Pascal’s triangle and Powers of 11, Math. Teacher 57 (1964), 392–394. Google Scholar

[8] F.J. Mueller, More on Pascal’s triangle and powers of 11, Math. Teacher 58 (1965), 425–428. Google Scholar