Odpowiedź:
5.
a)
5^8 * 2^5 = 5³(5 * 2)^5 = 125 * 10^5 = 1,25 * 10^7
b)
0,2³ * 5^7 = 5^4(0,2 * 5)³ = 625 * 1³ = 625
c)
(3/4)^6 : (9/16)^5 = 3/4(3/4 * 16/9)^5 = 3/4 * (4/3)^5 = (4/3)^-1 * (4/3)^5 = (4/3)^4
6.
(5²)^5 * (5^4)³ = 5^10 * 5^12 = 5^22
(7^8)³ : (7^5)^4 = 7^24 : 7^20 = 7^4
[(1/2)³]^4 * [(1/2)^5]^5 = (1/2)^12 * (1/2)^25 = (1/2)^37
7.
[(2^4)² * 2]/2^8 = (2^8 * 2)/2^8 = 2^9 : 2^8 = 2
odp. A.
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Odpowiedź:
5.
a)
5^8 * 2^5 = 5³(5 * 2)^5 = 125 * 10^5 = 1,25 * 10^7
b)
0,2³ * 5^7 = 5^4(0,2 * 5)³ = 625 * 1³ = 625
c)
(3/4)^6 : (9/16)^5 = 3/4(3/4 * 16/9)^5 = 3/4 * (4/3)^5 = (4/3)^-1 * (4/3)^5 = (4/3)^4
6.
a)
(5²)^5 * (5^4)³ = 5^10 * 5^12 = 5^22
b)
(7^8)³ : (7^5)^4 = 7^24 : 7^20 = 7^4
c)
[(1/2)³]^4 * [(1/2)^5]^5 = (1/2)^12 * (1/2)^25 = (1/2)^37
7.
[(2^4)² * 2]/2^8 = (2^8 * 2)/2^8 = 2^9 : 2^8 = 2
odp. A.
Szczegółowe wyjaśnienie: