I. A={a,b,c,d,f} si B={c,d,e}
II. a=17,425, b) =397,33 c) =2,1 d) = 162,5 e) =3,2451 si f) = 48,1
III.a) 15/20=3/20 b) 48/10=24/5=4 intregi si 4/5
c) 0,(23)=23/99
d)5,(317)=(5317-5)/99=5312/999
e)0,23(7)=(237-23)/900
f)8,2(31)=(8231-82)/990
g) 0,0127=127/1000
h) 0,0000.....01 (2017 cifre de 0)= 1/(10 la puterea 2016)
IV volumul : V=a³=60³
V.
a)[tex]2^{4}=16 ; \\ 3^{2}=9 ; \\ 2017^{0}=1 \\ \\ =16+9+1=26[/tex]
[tex]b)1+3^{2*23}* \frac{1}{3^{3*14}} [/tex]
[tex]=1*3^{46}*3^{-42}=1*3^{46-42}=3^{4} [/tex]
c) [tex] 3^{1+2+3+.....+50}:3^{3*425} \\ \\ 1+2+3+....+50= (50*51):2=1275 \\ \\ 3^{1275}:3^{1275} =1 [/tex]
d)un numar la puterea 0 este intotdeauna 1
[tex] 0^{300}=1 \\ \\ 1+5^{7}:5^{4}=1+5^{7-4}=1+ 5^{3}=1+125=126 [/tex]
VI
P=2(12+4)=2×16=32 m
A=L×l=12×4=48 m²
[tex]2 ^{n+2}*3^{n+3}+ 2^{n}*3^{n+1}+2^{n+5}*3^{n} [/tex] divizibil cu 11
