Odpowiedź:
8.
a)
(2^10 * 2^5 * 7^4)² = 2^m * 7^n
(2^15 * 7^4)² = 2^30 * 7^8
m = 30; n = 8
b)
(3^4 * 5^7)³/5^9 = 3^m * 5^n
3^12 * 5^21 : 5^9 = 3^12 * 5^12
m = 12; n = 12
c)
4 * (2³/3^4)^10 = 2^m/3^n
2² * 2^30/3^40 = 2^32/3^40
m = 32; m = 40
d)
(7³/5²)³ * (5³/7^5)^4 = 5^m/7^n
7^9/5^6 * 5^12/7^20 = 7^-11 * 5^6 = 5^6/7^11
m = 6; n = 11
9.
a)
9 * 6³ = 3² * 6³ = 3² * 2³ * 3³ = 3^5 * 2³
b)
4² * 10³ = (2²)² * 2³ * 5³ = 2^4 * 2³ * 5³ = 2^7 * 5³
c)
15^4 * 21^5 = 3^4 * 5^4 * 3^5 * 7^5 = 3^9 * 5^4 * 7^5
d)
10² * 6³ * 15² = 2² * 5² * 2³ * 3³ * 3² * 5² = 2^5 * 3^5 * 5^4
Szczegółowe wyjaśnienie:
