Question

Rezultatul calculului: 0,1+0,1 la puterea 2+0,1 la puterea 3 este.....
Va rog frumos sa ma ajutati si pe mine!

Answer 1

   
[tex]\displaystyle\\ 0,1 = \frac{1}{10}\\\\ 0,1+0,1^2+0,1^3 = \frac{1}{10} + \Big(\frac{1}{10}\Big)^2+\Big(\frac{1}{10}\Big)^3 = \\\\ =\frac{1}{10}+\frac{1}{10^2}+\frac{1}{10^3} = \frac{1}{10}+\frac{1}{100}+\frac{1}{1000} =\\\\ \frac{100}{1000}+\frac{10}{1000}+\frac{1}{1000}=\frac{100+10+1}{1000}= \boxed{\frac{111}{1000}} = \boxed{0,111}[/tex]