Question

Exercitiul 18 repede plz​

Answer 1

Explicație pas cu pas:

a) 1+2+3+...+100=(100•101)/2=50•101=5050

{[(5050:1010)^2002•5^3:5^2003]^3-5^6}:10^2+5={[5^2002•5^3:5^2003]^3-5^6}:10^2+5={(5^2)^3-5^6}:10/2+5=(5^6-5^6):10^2+5=0:10^2+5=0+5=5

b) 1+2[9•(26-25)+1]=1+2(9•1+1]=1+2(9+1)=1+2•10=1+20=21

c)2^103:[(15-13)^98+2^105:(2^3+2^4)+(2^3)^33)•25=2^103:[2^98+2^105:2^7+2^99]•25=2^103:[2^98+2^98+2^99]•25=(2^5+2^5+2^4)•25=(2•32+16)•25=(64+16)•25=80•25=2000

d)13^2+{17^15:17^14+2•[(8•25)^4:100^4+253:23]}=13^2+{17+2[200^4:100^4+11]}=13^2+{17+2[2^4+11]}=169+{17+2[16+11]}=169+{17+2•27}=169+{17+54}=169+71=240