Question

Cât e x=(1.2)^-1 x (1.2)^-2 x (1.2)^-3 x...x(1.2)^-99 x(1.2)^-100

Answer 1

[tex]x=(1.2)^{-1}*(1,2)^{-2}*(1,2)^{-3}*...*(1.2)^{-100}\\ x=(\frac{12}{10})^{-1}*(\frac{12}{10})^{-2}*.....*(\frac{12}{10})^{-100}\\ x=\frac{10}{12}*(\frac{10}{12})^2*.....*(\frac{10}{12})^{100}\\ x=\frac{10^{1+2+3+....+100}}{12^{1+2+3+....+100}}\\ x=\frac{10^{50*101}}{12^{50*101}}\\ x=\frac{10^{5050}}{12^{5050}}\\ x=(\frac{10}{12})^{5050}[/tex]