Odpowiedź:
9.
a)
45² : 5² = (45 : 5)² = 9² = 81
b)
(1 3/5)^10 * (5/8)^10 = (8/5)^10 * (5/8)^10 = (8/5 * 5/8)^10 = 1^10 = 1
c)
(-0,9)^5 : 9^5 = (-0,9 : 0)^5 = (-0,9 : 9)^5 = -0,1^5 = -0,00001 = -0,1^-5
d)
(-3/16)^4 : (1/16)^4 = (-3/16 * 16)^4 = (-3)^4 = 81
10.
(4²)^5 * (4^4)³ = 4^10 * 4^12 = 4^22
(6^8)³ : (6³)^5 = 6^24 : 6^15 = 6^9
[(1/2)³]³ * [(1/2)^4]^4 = (1/2)^9 * (1/2)^16 = (1/2)^27
(0,7^4)^9 : (0,7^5)^6 = 0,7^36 : 0,7^30 = 0,7^6
11.
(b^6)^4/[(b^5)³ * b] = b^24/(b^5)³ * b] = b^24/(b^15 * b] = b^24 : b^16 = b^8
odp.A.
12.
16^8 * 1/4 = (4²)^8 * 4^-1 = 4^16 * 4^-1 = 4^15
13.
(64 * 16)^8 = (2^6 * 2^4)^8 = (2^10)^8 = 2^80
odp.B.
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Odpowiedź:
9.
a)
45² : 5² = (45 : 5)² = 9² = 81
b)
(1 3/5)^10 * (5/8)^10 = (8/5)^10 * (5/8)^10 = (8/5 * 5/8)^10 = 1^10 = 1
c)
(-0,9)^5 : 9^5 = (-0,9 : 0)^5 = (-0,9 : 9)^5 = -0,1^5 = -0,00001 = -0,1^-5
d)
(-3/16)^4 : (1/16)^4 = (-3/16 * 16)^4 = (-3)^4 = 81
10.
a)
(4²)^5 * (4^4)³ = 4^10 * 4^12 = 4^22
b)
(6^8)³ : (6³)^5 = 6^24 : 6^15 = 6^9
c)
[(1/2)³]³ * [(1/2)^4]^4 = (1/2)^9 * (1/2)^16 = (1/2)^27
d)
(0,7^4)^9 : (0,7^5)^6 = 0,7^36 : 0,7^30 = 0,7^6
11.
(b^6)^4/[(b^5)³ * b] = b^24/(b^5)³ * b] = b^24/(b^15 * b] = b^24 : b^16 = b^8
odp.A.
12.
16^8 * 1/4 = (4²)^8 * 4^-1 = 4^16 * 4^-1 = 4^15
13.
(64 * 16)^8 = (2^6 * 2^4)^8 = (2^10)^8 = 2^80
odp.B.
Szczegółowe wyjaśnienie: