Question

determine o valor de: a) (1,666...) elevafdo a -1

Answer 1

(1,666...)-¹ = (1 + 6/9$( 1,666...)^{-1} = (1 + \frac{6}{9}) ^{-1} = (1 + \frac{2}{3}) ^{-1} = ( \frac{5}{3} ) ^{-1} = \frac{3}{5}$
             = 1 + 2/3
             = 5/3