Question

4. Efectuati : a) 4 supra 63 + 1 supra 18 - (2 supra 5) la puterea a doua ori 5 supra 7

Answer 1

a)
4/63+1/18-(2/5)²×5/7=
=4/63+1/18-4/25×5/7=
=(40+35-72)/630=
=3/630=
=1/210

b)(1+3/2×5/2):6-1=
=(1+15/4):6-1=
=[(4+15)/4]:6-1=
=19/4 × 1/6 -1=
=19/24-1=
=(19-24)/24=-5/24

c)(12/35-7/20)(-1-1/6)=
=[(48-49/140)][(-6-1)/6]=
=(-1/140)(-7/6)=
=(-1/20)(-1/6)=
=1/120

d) (6/32+5/24)×30/38-1/8=
=(3/16+5/24)×15/19-1/8=
=(9/48+10/48)×15/19-1/8=
=19/48×15/19-1/8=
=15/48-1/8=
=5/16-1/8=
=5/16-2/16=3/16

e) 3-2:(5/8×12/15)+(1/3)²=
=3-2:(5/8×4/5)+1/9=
=3-2:1/2+1/9=
=3-4+1/9=
=-1+1/9=
=(-9+1)/9=-8/9

f) 5/6 :1/3 : (12/8-5/6)=
=5/6 ×3/1 : (3/2-5/6)=
=5/2 : (9/6-5/6)=
=5/2 : 4/6=
=5/2 : 2/3=
=5/2 × 3/2=
=15/4