Odpowiedź:
a)
√(1 9/16) * (-2)² + 1,2 * 5/12 = √25/16 * 4 + 12/10 * 5/12 = 5/4 * 4 + 1/2 = 5 1/2
b)
2 1/2 - 1/2 * ∛(3 3/8) + 1/2 = 2 1/2 - 1/2 * ∛27/8 + 1/2 = 2 1/2 - 1/2 * 3/2 + 1/2 = 3 - 3/4 = 2 1/4
C)
4/3 - (-1 1/3)² : 0,9 = 4/3 - (-4/3)² : 0,9 = 4/3 - 16/9 : 9/10 = 4/3 - 16/9 * 10/9 = 4/3 - 160/81 = 4/3 - 1 79/81 = 108/81 - 160/81 = -52/81
d)
0,8 * 3/2³ - (-2)³/4 * 0,1 = 8/10 * 3/8 - (-8)/4 * 0,1 = 3/10 + 2 * 0,1 = 0,3 + 0,2 =
= 0,5
e)
(1 1/3)² * (-3)² - 1,9^0 * 1/3 = (4/3)² * 9 - 1 * 1/3 = 16/9 * 9 - 1/3 = 16 - 1/3 =
= 15 2/3
Szczegółowe wyjaśnienie:
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Odpowiedź:
a)
√(1 9/16) * (-2)² + 1,2 * 5/12 = √25/16 * 4 + 12/10 * 5/12 = 5/4 * 4 + 1/2 = 5 1/2
b)
2 1/2 - 1/2 * ∛(3 3/8) + 1/2 = 2 1/2 - 1/2 * ∛27/8 + 1/2 = 2 1/2 - 1/2 * 3/2 + 1/2 = 3 - 3/4 = 2 1/4
C)
4/3 - (-1 1/3)² : 0,9 = 4/3 - (-4/3)² : 0,9 = 4/3 - 16/9 : 9/10 = 4/3 - 16/9 * 10/9 = 4/3 - 160/81 = 4/3 - 1 79/81 = 108/81 - 160/81 = -52/81
d)
0,8 * 3/2³ - (-2)³/4 * 0,1 = 8/10 * 3/8 - (-8)/4 * 0,1 = 3/10 + 2 * 0,1 = 0,3 + 0,2 =
= 0,5
e)
(1 1/3)² * (-3)² - 1,9^0 * 1/3 = (4/3)² * 9 - 1 * 1/3 = 16/9 * 9 - 1/3 = 16 - 1/3 =
= 15 2/3
Szczegółowe wyjaśnienie: