parmenides51 wrote: Decipher the equality $(\overline{LARN} -\overline{ACA}) : (\overline{CYP} +\overline{RUS}) = C^{Y^P} \cdot R^{U^S} $ where different symbols correspond to different digits and equal symbols correspond to equal digits. It is also supposed that all these digits are different from $0$. $LARN-ACA\le 9876-121=9755$ $CYP+RUS\ge 379$ So $LHS < 26$ But one of sets $\{C,Y,P\}$ or $\{R,U,S\}$ does not contain digit $1$ And clearly $a^{b^{c}}>25$ whatever are $a,b,c\ge 2$ pairwise different. So no solution.