Question

Помогите 1) (2/3:4/9)² и 2) (2/3)² : (4/9)²

Answer 1

Ответ:

1) (2/3:4/9)²

(2/3*9/4)²

(2*3/4)²

(3/2)²

9/4

2) (2/3)² : (4/9)²

(2/3)²:(2/3)⁴

(2/3)^-2

(3/2)²

9/4

Answer 2

Ответ:

Пошаговое объяснение:

(2/3 : 4/9)² = (2/3 * 9/4)² =

(1/1 * 3/2)² = (3/2)² = 3/2 * 3/2 = 9/4 = 2. 1/4

(2/3)² : (4/9)² =

(2/3 * 2/3) : (4/9 * 4/9) =

4/9 : 16/81 = 4/9 * 81/16 =

1/1 * 9/4 = 2. 1/4