Odpowiedź:
Szczegółowe wyjaśnienie:
10.
a)
(1 1/7)² = (8/7)² = 64/49 = 1 i 15/49
b)
(-1 2/3)³ = (-5/3)³ = -125/8 = -15 i 5/8
c)
-1,1² = -1,21
d)
(-4/9)⁰ = 1
11.
(1,5)⁵ : (1,5)³ = (1,5)² = 2,25 = 2 i 25/100 = 2 i 1/4
(2/3)⁷ * 3⁷ = (2/3 * 3)⁷ = 2⁷ = 128
(2/9)⁶ * (4 1/2)⁷ = (2/9)⁶ * (4 1/2)⁶ * 4 1/2 = (2/9)⁶ * (9/2)⁶ * 9/2 = (2/9 * 9/2)⁶ * 9/2 = 1⁶ * 4 1/2 = 1 * 4 1/2 = 4 i 1/2
(8² * 2³) / 2⁸ = [(2³)² * 2³] / 2⁸ = (2⁶ * 2³) / 2⁸ = 2⁹ / 2⁸ = 2¹ = 2
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Odpowiedź:
Szczegółowe wyjaśnienie:
10.
a)
(1 1/7)² = (8/7)² = 64/49 = 1 i 15/49
b)
(-1 2/3)³ = (-5/3)³ = -125/8 = -15 i 5/8
c)
-1,1² = -1,21
d)
(-4/9)⁰ = 1
11.
a)
(1,5)⁵ : (1,5)³ = (1,5)² = 2,25 = 2 i 25/100 = 2 i 1/4
b)
(2/3)⁷ * 3⁷ = (2/3 * 3)⁷ = 2⁷ = 128
c)
(2/9)⁶ * (4 1/2)⁷ = (2/9)⁶ * (4 1/2)⁶ * 4 1/2 = (2/9)⁶ * (9/2)⁶ * 9/2 = (2/9 * 9/2)⁶ * 9/2 = 1⁶ * 4 1/2 = 1 * 4 1/2 = 4 i 1/2
d)
(8² * 2³) / 2⁸ = [(2³)² * 2³] / 2⁸ = (2⁶ * 2³) / 2⁸ = 2⁹ / 2⁸ = 2¹ = 2