Explicație pas cu pas:
a)
[tex] {( - \frac{3}{2}) }^{4 + 5} \div ( { - \frac{2}{3} )}^{ - 7} = \\ {( - \frac{3}{2}) }^{7} \div {( - \frac{3}{2}) }^{7} = \\ {( - \frac{3}{2}) }^{0} = 1[/tex]
b) 0,0625 +( - 1/4 +1/9) : (83-8)/90 =
625/10000 + (-9+4)/36 : 75/90=
25/400 + (-5)/36 : 15/18 =
1/16 - 5/36 × 18/15 =
1/16 - 5/2 × 1/15 =
1/16 - 1/6 = (48 - 8)/ 48 = 40/ 48 = 5/12