olymmath

KöMaL 2014 K411

    The power x5x^5 cannot only be calculated by doing the multiplication x.x.x.x.xx^. x^. x^. x^. x, but also with fewer multiplications, by calculating partial results (e.g. yy=x.xx^. x) and obtaining the final answer by multiplying those: y.y.xy^. y^. x, which only makes three multiplications altogether. Express the power x23x^{23} with less than 10 multiplications to carry out.

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