Răspuns:
a) (5/21×22/10)^12=(5/10×22/21)^12=(1/2×22/21)^12=(22/42)^12=(11/21)^12
5/10 se simplifică cu 5=1/2
22/42 se simplifică cu 2=11/21
b) 5 2/5=25+2/5=27/5
(27/5×5/9)^8=(27/9×5/5)^8=(3×1)^8=3^8
27/9 se simplifică cu 9=3
5/5=1
c) (39/54 ×27/26)^16=(39/26×27/54)^16=(39/26×1/2)^16=
(39/52)^16
27/54 se simplifică cu 27=1/2
d) (55/38×95/22)^6=(55/22×95/38)^6=(5/2×95/38)^6=
(475/76)^6
55/22 se simplifică cu 11=5/2
e) (12/100×8 1/3)^18=(12/100×25/3)^18=(12/3×25/100)^18=
(4×1/4^18=(4/4)^16=1^16=1
8 1/3=24+1/3=25/2
12/3 se simplifică cu 3=4
25/100 se simplifică cu 25=1/4
f) (9/37×37/27)^12=(9/27×37/37)^12=(1/3×1)^12=(1/3)^12
9/27 se simplifică cu 9=1/3
37/37=1
