Question

Va rog am nevoie de ajutor

Answer 1

Răspuns:

1. 1=(-3)⁰; 9=(-3)²; -27=(-3)³; 81=(-3)⁴; -243=(-3)⁵

2. a=+2; b=-3

a)  (a+b)²=a²+2·a·b+b²

(2-3)²=2²+2·2·(-3)+(-3)²

(-1)²=4-12+9

-1=-1 Adevarat

b) (a-b)²=a²-2·a·b+b²

[2-(-3)]²=2²-2·2·(-3)+(-3)²

(2+3)²=4+12+9

5²=25

25=25 Adevarat

3. a=(-5)·(2-2·7)=(-5)(2-14)=(-2)·(-12)=24

b=[8+8:(-4)]·(-10)=(8-2)·(-10)=6·(-10)=-60

c=-3[1-3·(-3+2·3)]=-3·[1-3·(-3+5)]=-3·(1-3·2)=-3·(1-6)=-3·(-5)=15

d=1+(-1)¹⁰·(-7-7:7)=1+1·(-7-1)=1+(-8)=-7

-60<-7<15<24 ⇒ b<d<c<4

4. a) (49-5²)·(49-6²)·(49-7²)·(49-8²)=(49-25)·(49-36)·(49-49)·(49-64)=24·13·0·(-15)=0

b) (-27+1³)·(-27+2³)·(-27+3³)·...·(-27+10³)=(-26)·(-19)·0·...973=0

c) (-2³)+10·[(-1)²⁰¹⁸+(-1)²⁰¹⁹+2·(2·3-2)]=-8+10·(1-1+2·1)=-8+10·2=-8+20=12

d) (-3)¹⁹⁹:(-3)¹⁹⁸-4·{-2-2·[(-4)⁸:2¹⁴-2]}=(-3)-4·[-2-2·(4⁸:4⁷-2)]=-3-4·[-2-2·(4-2)]=

=-3-4·(-2-2·2)=-3-4·(-2-4)=-3-4·(-6)=-3+24=21

Explicație pas cu pas: