Odpowiedź:
a)
(1/4)^5 : 1/2^8 = [(1/2)²]^5 : 2^-8 = (1/2)^10 : 2^-8 = 2^-10 : 2^-8 = 2^-10 * 2^8 =
= 2^-2
b)
[(-6)^4 * (-2)^4]/12² = [-6 * (-2)]^4/12² = 12^4 : 12² = 12² = 144
c)
2^9 : (-6^7 : 3^7) = 2^9 : (-2)^7 = -2² = -4
d)
32³/8² = (2^5)³/(2³)² = 2^15 : 2^6 = 2^9
e)
81^4/27^5 = (3^4)^4 : (3³)^5 = 3^16 : 3^15 = 3^1 = 3
f)
25² * 4^7/(2^9 * 5^4) = (5²)² * (2²)^7/(2^9 * 5^4) = 5^4 * 2^14/(2^9 * 5^4) = 2^5 = 32
g)
2^10 * 3^10/6^8 = (2 * 3)^10/6^8 = 6^10 : 6^8 = 6² = 36
h)
5^8 * 2^9/10^7 = (5 * 2)^8 * 2/10^7 = 10^8 * 2 : 10^7 = 10 * 2 = 20
Szczegółowe wyjaśnienie:
