Question

Qual é o algarismo da unidades 3⁹⁸⁶?​

Answer 1

$\Large\boxed{\begin{array}{l}\sf 3^0=1\\\sf 3^1=3\\\sf 3^2=9\\\sf 3^3=27\\\sf 3^4=8\boxed{\sf1}\\\sf3^5=24\boxed{\sf3}\\\sf 3^6=72\boxed{\sf9}\\\sf perceba\,o\,padr\tilde ao\,de\,repetic_{\!\!,}\tilde ao\\\sf nas\,pot\hat encias\,acima\\\sf 986|\underline{4~~}\\\sf\underline{\!\!\!\!-8}~~~~246\\\sf18\\\sf\underline{\!\!\!\!-16}\\\sf26\\\sf\underline{\!\!\!\!-24}\\\sf2\\\sf 986=246\cdot4+\boxed{\sf2}\\\sf isto\,\acute e\\\sf o\,algarismo\,das\,unidades\,de\,3^{986}\,\acute e\,3^2=9\checkmark\end{array}}$