Question

{[(27^3)^2*(81^2)^3]^4:[(9^3)^4*(27^3)^2]^3}:(27^3)^4

Answer 1

Răspuns:

Explicație pas cu pas:

{[(27^3)^2*(81^2)^3]^4:[(9^3)^4*(27^3)^2]^3}:(27^3)^4

[(27^3)^2*(81^2)^3]^4 = [(3^9)^2*(3^8)^3]^4 = (3^18*3^24)^4 = (3^42)^4 = 3^168

[(9^3)^4*(27^3)^2]^3 = [(3^6)^4*(3^9)^2]^3 = (3^24*3^18)^3 = (3^42)^3 = 3^126

(27^3)^4 = (3^9)^4 = 3^36

_________

3^168 : 3^126 : 3^36 = 3^42 : 3^36 = 3^6