Plssssssssssssssssssss dau coroană
Răspunsuri la întrebare
Răspuns:
Ex 1:
a) = 3^6-3⁴ = (3²-1)•3⁴ = (9-1)•81 = 8•81 = 648
b) = 2012+1 = 2013
c) = 1•0 = 0
d) = 3³ = 27
Ex 2:
a 16^28 si 14^28
16^28 > 14^28 → 16>14
b 25¹²³ < 25²²³ → 123<223
c 16¹⁴ = (2⁴)¹⁴ = 2^64
8²¹ = (2³)²¹ = 2^63
16¹⁴ > 8²¹
d 25^25 = (5²)^25 = 5^50
25^25 > 5^48
Ex 3:
a) = 12²-3³+8 = 144-27+8 = 125
b) = 8•9+1•121-1 = 72+121-1 = 192
c) = 1+[2+(27-6+56)-9] = 1+(2+77-9) = 1+70 = 71
d) = 9•[(8+7•11)•4-3]+2 = 9•[(8+77)•4-3]+2 =
= 9•(85•4-3)+2 = 9•337+2 = 3033+2 = 3035
Ex 4:
a = (3²¹+3^20+3^19):39
a = (3²+3+1)•3^19:39
a = (9+3+1)•3^19:39
a = 13•3^19:39
a = 3^19:3
a = 3^18
a = (3^9)² → este patrat perfect
Ex 5:
p = 3^71•4^62
u(3¹) = 3; u(3²) = 9 ; u(3³) = 27 →7 ; u(3⁴) = 81 →1.
71 = 17•4+3 → u(3^71) = 7
u(4¹) = 4; u(4²) = 16 →6;
62 = 31•2 → u(4^62) = 6
→ u(3^71•4^62) = u(7•6) = 42 → 2 este ultima cifra.
EVERGREEN
1
a 9³- 3⁴= 729-81= 648
b 2012¹=2012
1²⁰¹²=1
2012+1= 2013
c 25⁰ = 0
0²⁵=0
0×0 =0
d (5-2)³ = 5-2 = 3³ = 27
2
a 16²⁸ > 14²⁸
b 25¹²³ < 25²²³
3
a 12³⁴÷12³²-3¹×3²+2³=127
12³⁴÷12³²= 12³⁴-12³² =12²=144
144-3¹×3²+2³
3¹×3²= 3 × 9 =27
144-27+2³= 144-27+8=127
b 2³×3²+25⁰×11²-4⁰=72
c 1+ (2+(3×(4+5)-6+7×8)-9)=72
d 9×((8+7×(6+5))×4-3)+2=3035
sper ca team ajutat ^^