Question

Zad 9 Oblicz
E) 1 1/5 razy 1 2/3 razy 1/7 + (1 1/7) do potęgi 2
F) (2 1/6 - 2/3) do potęgi 2 - 2 1/5
g) 10 - 2 razy ( 3 1/5 - 2 1/4 razy 1/3)
h) ( 7/3 - 5/12 + 1 1/2) : (2 3/4 - 5/6)

Answer 1

Odpowiedź:

1 i 1/5 * 1 i 2/3 * 1/7 + (1 i 1/7)² = 6/5 * 5/3 * 1/7 + (8/7)² = 2 * 1/7 + 64/49 = 2/7 + 64/49 = 14/49 + 64/49 = 78/49 = 1 i 29/49

(2 i 1/6 - 2/3)² - 2 i 1/5 = (2 i 1/6 - 4/6)² - 2 i 1/5 = (1 i 7/6 - 4/6)² - 2 i 1/5 =( 1 i 11/6)² - 2 i 1/5 = 17/6 - 2 i 1/5 = 2 i 5/6 - 2 i 1/5 = 2 i 25/30 - 2 i 6/30 = 19/30

10 - 2 * (3 i 1/5 - 2 i 1/4 * 1/3) =10 - 2 * (3 i 1/5 - 9/4 * 1/3) = 10 - 2 * (3 i 1/5 - 3/4) = 10 - 2 * (3 i 4/20 - 15/20) = 10 - 2 * (2 i 24/20 - 15/20) = 10 - 2 * 2 i 9/20 = 10 - 2 * 49/20 = 10 - 49/10 = 10 - 4 i 9/10 = 9 i 10/10 - 4 i 9/10 = 5 i 1/10

(7/3 - 5/12 + 1 i 1/2) : (2 i 3/4 - 5/6) = (28/12 - 5/12 + 1 i 6/12) : (2 i 9/12 - 10/12) =

(23/12 + 1 i 6/12 ) : (1 i 21/12 - 10/12) = 1 i 29/12 : 1 i 11/12 = 41/12 : 23/12 = 41/12 * 12/23 =  41/23 = 1 i 18/23