Question

va rog ajutatima dau 44 puncte!! si coroana!!​

Answer 1

Răspuns:

Explicație pas cu pas:

A) 4^7×(4^9:4^6)^1:(4^2)^3 =4^7×4 ^(9-6):4^(2×3) =4 ^7×4 ^3 :4 ^6 =4 ^(7+3):4^6 =4 ^10:4^6=4^(10-6)=4^4

B) (5^10×25)^2 :5^15 =(5^10 ×5^2)^2:5^15 =[5^(10+2)]^2 :5^15 =(5^12)^2 :5 ^15 =5 ^(12×2) :5^15=5 ^24:5^15 =5 ^(24-15)=5^9

C)(9^10×27)^2:3^5 =[(3^2)^10 ×3^3]^2 :3^5 =(3^20×3^3) ^2 :3^5 =(3^20×3^3)^2 :3^5 =[3^(20+3)]^2:3^5=(3^23)^2 :3^5 =3 ^(23×2) :3^5=3 ^46:3^5 =3^(46-5)=3^41

D) (3^4 ×4^4)^1:12^3 =(3×4)^4 :12^3 =12^4 :12^3 =12 ^(4-3)=12^1=12

E) (5^11×3^11):15^10=(5×3)^11:15^10 =15^11:15^10 =15^(11-10)=15^1=15

F) 2^15×4^20×8^3=2^15 ×(2^2)^20×(2^3)^3=2^15 ×2^(2×20)×2 ^(3×3)=2^15×2^40×2^9=2 ^(15+40+9)=2^64

G) 1024 ×512 :2^15 =2^10 ×2 ^9 :2^15 =2^(10+9):2^15=2^19:2^15=2 ^(19-15)=2^4 =16