Question

(2/3)-2 - (1/2)-1 + (-1/4)-2 =​

Answer 1

Resposta:

Explicação passo a passo:

$\displaystyle (\frac{2}{3} )^{-2}-(\frac{1}{2} )^{-1}+(-\frac{1}{4} )^{-2}=\\\\\\(\frac{3}{2} )^{2}-(\frac{2}{1} )^{1}+(-\frac{4}{1} )^{2}=\\\\\\\frac{3^2}{2^2} -2^{1}+(-4)^{2}=\\\\\\\frac{9}{4} -2+16=\\\\\\\frac{9-2.4+16.4}{4} =\\\\\\\frac{9-8+64}{4} =\\\\\\\frac{65}{4}$

Propriedades:

$\displaystyle (\frac{x}{y} )^{-n}=(\frac{y}{x} )^n=\frac{y^n}{x^n}$