Odpowiedź:
a)
(1/4)^5 : 1/2^8 = [(1/2²)^5 : 2^-8 = 2^-10 : 2^-8 = 2² = 4
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 = 32 * 32³ : 8³ = 32 * (32 : 8)³ = 32 * 4³ = 2^5 * (2²)³ = 2^5 * 2^6 = 2^11
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
Szczegółowe wyjaśnienie: