Odpowiedź:
a)
1/2 * [(-1)^8 + (-1)^8] = 1/2 * (-2) = -1/4
b)
(-3 1/3)³ * 0,3^4 - (-1/2)³ * (1 1/3)² = (-10/3)³ * 0,3^4 + 1/8 * (4/3)² =
= -1000/27 * 0,0081 + 1/8 * 16/9 = -8,1 : 27 + 2/9 = -0,3 + 2/9 = -3/10 + 2/9 =
= -27/90 + 20/90 = -7/90
c)
(1 1/3)³ * (-3 3/4)² : 3 - (1/3)² = (4/3)³ * (-15/4)² : 3 - 1/9 = 64/27 * 225/16 * 1/3 - 1/9 = 64/3 * 25/16 * 1/3 - 1/9 = 4/3 * 25 * 1/3 - 1/9 = 100/9 * 1/3 = 100/27 = 3 19/27
d)
(-0,3)² : 0,1 - 0,2³ * (2 1/2)² = 0,09 : 0,1 - 0,008 * (5/2)² = 0,9 - 0,008 * 25/4 =
= 0,9 - 6,25 = 5,35
e)
(-0,1)^4 * 20³ + (1 1/2)³ : (-0,3)² = 0,0001 * 8000 + (3/2)³ = 0,8 + 27/8 =
= 0,8 + 3 3/8 = 0,8 + 3,375 = 4,175
Szczegółowe wyjaśnienie:
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Odpowiedź:
a)
1/2 * [(-1)^8 + (-1)^8] = 1/2 * (-2) = -1/4
b)
(-3 1/3)³ * 0,3^4 - (-1/2)³ * (1 1/3)² = (-10/3)³ * 0,3^4 + 1/8 * (4/3)² =
= -1000/27 * 0,0081 + 1/8 * 16/9 = -8,1 : 27 + 2/9 = -0,3 + 2/9 = -3/10 + 2/9 =
= -27/90 + 20/90 = -7/90
c)
(1 1/3)³ * (-3 3/4)² : 3 - (1/3)² = (4/3)³ * (-15/4)² : 3 - 1/9 = 64/27 * 225/16 * 1/3 - 1/9 = 64/3 * 25/16 * 1/3 - 1/9 = 4/3 * 25 * 1/3 - 1/9 = 100/9 * 1/3 = 100/27 = 3 19/27
d)
(-0,3)² : 0,1 - 0,2³ * (2 1/2)² = 0,09 : 0,1 - 0,008 * (5/2)² = 0,9 - 0,008 * 25/4 =
= 0,9 - 6,25 = 5,35
e)
(-0,1)^4 * 20³ + (1 1/2)³ : (-0,3)² = 0,0001 * 8000 + (3/2)³ = 0,8 + 27/8 =
= 0,8 + 3 3/8 = 0,8 + 3,375 = 4,175
Szczegółowe wyjaśnienie: