Cubul numarului rational (1- 1 supra 2)*(1- 1 supra 3)*(1 -1 supra 4) este...

Răspuns :

[tex](1^{(2}-\frac{1}{2})*(1^{(3}-\frac{1}{3})*(1^{(4}-\frac{1}{4})= \\ \\ \frac{2-1}{2} * \frac{3-1}{3} * \frac {4-1}{4} = \frac{1}{2} * \frac{2}{3} *\frac{3}{4} = \\ \\ =\frac{1}{4} => cubul = (\frac{1}{4})^3 = \boxed{\frac{1}{64}}[/tex]