Question

Potênciação - Calcule o valor da expressão: (-3/4)^2- [ 2,5+ ( -3+-1/4)÷5/2-2^-3]

Answer 1

$\frac{-3}{4} . \frac{-3}{4}= \frac{9}{16} \\ \\ -[2,5+( \frac{-3-1}{4} = \frac{-4}{4}=-1): \frac{5}{2} - 2^{-3} ] \\ \\ 2,5-1 =1,5 \\ \\ obs:1,5= \frac{3}{2} \\ \\ \frac{3}{2} : \frac{5}{2}- 2^{-3} = \frac{3}{2}. \frac{2}{5} = \frac{15}{4}-0,125 \\ \\ \frac{15}{4} - \frac{125}{1000} = \frac{15-125}{1000} = \frac{-110}{1000} = -0,11 = \frac{-11}{100} \\ \\ \frac{9}{16} - \frac{-11}{100} = \frac{9}{16}+ \frac{11}{100} = \frac{9+11}{400} = \frac{20}{400}= \frac{2}{40} = \frac{1}{20}$

R:1/20