Odpowiedź:
Szczegółowe wyjaśnienie:
a)
4^6 * 0,5^12 = 4^6 * (1/2)^12 = 4^6 * [(1/2)²]^6 = 4^6 * (1/4)^6 = (4/4)^6 = 1
b)
0,5^9 * 800³ = [(1/2)³]³ * 800³ = (1/8)³ * 800³ = (800/8)³ = 100³ = 10^6
c)
8² * 2^12 * 0,125^6 = (2³)² * 2^12 * (125/1000)^6 = 2^6 * 2^12 * (1/8)^6 =
= 2^18 * [(1/2)³]^6 = 2^18 * (1/2)^18 = (2/2)^18 = 1
d)
27^5 : (3^4 * 9²)² = [(3)³]^5 : (3^4 * 3^4)² = 3^15 : (3^8)² = 3^15 : 3^16 = 1/3
e)
(1/4)^5 : 0,125³ = [(1/2)²]^5 : (1/8)³ = (1/2)^10 : (1/2)^9 = 1/2
f)
0,027^4 * 0,09² * 0,3 : 0,0081^4 =
= (27/1000)^4 * (9/100)² * (3/10) : (81/10000)^4 =
[(3/10)³]^4 * [(3/10)²]² * (3/10) : [(3/10)^4]^4 =
= (3/10)^12 * (3/10)^4 * (3/10) : (3/10)^16 = (3/10)^17 : (3/10)^16 = 3/10
