Question

a la puterea a = bcd cu bara deasupra
a, b, c si d sunt cifre scrise in baza 10

Aflati cd - ab​

Answer 1

___

a^a=bcd

a=4 =>bcd=4^4=256=>cd-ab=56-24=32

a=5 =>bcd=5^5=625=>cd-ab=25-65=-40(convine depinzand de nivelul la care esti)

Answer 2

$\it a,\ b,\ c,\ d=cifre\\ \\ a^a=\overline{bcd}\ \ \ \ (*)\\ \\ \overline{bcd}\ are\ trei\ cifre \stackrel{(*)}{\Longrightarrow}\ a^a\ are\ trei\ cifre \Rightarrow a=4\ (singura\ solu\c{\it t}ie)\\ \\ a=4 \stackrel{(*)}{\Longrightarrow}\ \overline{bcd}=4^4 \Rightarrow \overline{bcd}=256 \Rightarrow b=2,\ c=5,\ d=6\\ \\ \overline{cd}-\overline{ab}=56-42=14$