Question

aratati ca numarul b egal cu 5⁶⁰ plus 5⁶¹plus 5⁶² x 961 este un cub perfect....de la 5 la puterea 60 pana la 5 la puterea 62 avem paranteza rotunda

Answer 1

$b=(5^{60}+5^{61}+5^{62})\cdot961=5^{60}\cdot(1+5+5^2)\cdot31^2=$

$=5^{20\cdot3}\cdot31\cdot31^2=(5^{20})^3\cdot31^3=(5^{20}\cdot31)^3$