Odpowiedź:
6.
a)
1000^9 = (10³)^9 = 10^27
b)
100^18 = (10²)^18 = 10^36
c)
1000^500 = (10³)^500 = 10^1500
d)
(100^7)^8 = [(10²)^7]^8 = (10^14)^8 = 10^112
7.
32³ : 16³ = (32 : 16)³ = 2³ = 8
(1 1/5)^10 * (5/6)^10 = (6/5)^10 * (5/6)^10 = (6/5 * 5/6)^10 = 1^10 = 1
(-0,8)^6 : 8^6 = (-0,8 : 8)^6 = (-0,1)^6 = 0,000001
(-2/13)^5 : (1/13)^5 = (-2/13 * 13)^5 = (-2)^5 = -32
Szczegółowe wyjaśnienie:
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Odpowiedź:
6.
a)
1000^9 = (10³)^9 = 10^27
b)
100^18 = (10²)^18 = 10^36
c)
1000^500 = (10³)^500 = 10^1500
d)
(100^7)^8 = [(10²)^7]^8 = (10^14)^8 = 10^112
7.
a)
32³ : 16³ = (32 : 16)³ = 2³ = 8
b)
(1 1/5)^10 * (5/6)^10 = (6/5)^10 * (5/6)^10 = (6/5 * 5/6)^10 = 1^10 = 1
c)
(-0,8)^6 : 8^6 = (-0,8 : 8)^6 = (-0,1)^6 = 0,000001
d)
(-2/13)^5 : (1/13)^5 = (-2/13 * 13)^5 = (-2)^5 = -32
Szczegółowe wyjaśnienie: