Question

Calculați: a). 0,(2)+[0,(3)]
$la \: a \:puterea {2}$
b). 0,75-(0,4)
$la \: puterea \: 2$


c).[2,(4):1,(6)] la puterea2 : 0,15(1).

Answer 1

a) 0,(2)+[(0,(3)]²=2/9+(3/9)²=2/9+(1/3)²=2/9+1/9= (2+1)/9=3/9=1/3

b) 0,75 - (0,4)²=75/100 - ( 4/10)²= 3/4 - (2/5)²= 3/4 - 4/25=
=(3x25) /100 - (4x4) /100=
=75/100 - 16 /100 =
=59 / 100=
=0,59

c)
[2,(4):1,(6)]² : 0,15(1)= [ (24 -2) / 9 : (16-1) /9]² : (151-15) /900=
= ( 22/9 x 9/15)² : 136 / 900=
=(22/15)² x 900 / 136=
=484 / 225 x 900/ 136=
= 121/ 45 x 180 /34=
=242/17=
=14.2352941176