Question

care este rezultatul
​

Answer 1

Răspuns:

a)  $\frac{16}{9}$

b) $-\frac{8}{5}$

c)  $\frac{1}{180}$

Explicație pas cu pas:

a)

$(6,75 - 4,5*1\frac{2}{3} )*(-1\frac{1}{3} )^{3} =$

$= (\frac{675}{100} - \frac{45}{10} *\frac{5}{3} )*(-\frac{4}{3} )^{3}$

$= (\frac{27}{4} - \frac{15}{2} )*(-\frac{64}{27} )$

$= \frac{27-30}{4} *(-\frac{64}{27} )$

$= (-\frac{3}{4} )*(-\frac{64}{27} )$

$= \frac{16}{9}$

b)

$(-\frac{5}{12} - \frac{13}{20} )^{2} *(-1\frac{13}{32} ) =$

$= (-\frac{25}{60} - \frac{39}{60} )^{2} *(-\frac{45}{32} )$

$= (-\frac{64}{60} )^{2} *(-\frac{45}{32} )$

$= (-\frac{16}{15} )^{2} *(-\frac{45}{32} )$

$= -\frac{256*45}{225*32}$

$= -\frac{8}{5}$

c)

$[-\frac{11}{18} + (-2\frac{2}{9} )*(-0,2)]^{3} *(-1,2) =$

$= [-\frac{11}{18} +(-\frac{20}{9} )*(-\frac{2}{10} )]^{3} *(-\frac{12}{10} )$

$= (-\frac{11}{18} + \frac{40}{90} )^{3} *(-\frac{6}{5} )$

$= (-\frac{55}{90} + \frac{40}{90} )^{3} *(-\frac{6}{5} )$

$= (-\frac{15}{90} )^{3} *(-\frac{6}{5} )$

$= (-\frac{1}{6} )^{3} *(-\frac{6}{5} )$

$= \frac{1*6}{216*5}$

$= \frac{1}{180}$