Odpowiedź:
a)
3^4 * 9² = 3^4 * (3²)² = 3^4 * 3^4 = 3^8
b)
4^5 * 8³ = (2²)^5 * (2³)³ = 2^10 * 2^9 = 2^19
c)
8³ : 2^5 = (2³)³ : 2^5 = 2^9 : 2^5 = 2^4
d)
125^7 : 25^10 = (5³)^7 : (5²)^10 = 5^21 : 5^20 = 5^1 = 5
e)
(1/9)^4 : (1/3)³ = (1/3²)^4 : (1/3)³ = (1/3)^8 : (1/3)³ = (1/3)^5
f)
0,5^9 : (1/4)^4 = (1/2)^9 : (1/2²)^4 = (1/2)^9 : (1/2)^8 = (1/2)^1 = 1/2
g)
0,1^9 : 0,001² = 0,1^9 : (0,1³)² = 0,1^9 : 0,1^6 = 0,1³
h)
5^8/32 * 2^10/125 = 5^8/2^5 * 2^10/5³ = 5^5 * 2^5 = (5 * 2)^5 = 10^5
Szczegółowe wyjaśnienie:
