Odpowiedź i wyjaśnienie:
a)
Potęga liczby 3 :
9¹⁰ = (3²)¹⁰ = 3²⁰
81⁷ = (3⁴)⁷ = 3²⁸
Bo :
9 = 3 * 3 = 3²
81 = 3 * 3 * 3 * 3 = 3⁴
b)
Potęga liczby 2:
4⁷ = (2²)⁷ = 2¹⁴
8¹¹ = (2³)¹¹ = 2³³
Bo:
4 = 2 * 2 = 2²
8 = 2 * 2 * 2 = 2³
c)
Potęga liczby 5 :
125⁴ = (5³)⁴ = 5¹²
25¹⁵ = (5²)¹⁵ = 5³⁰
Bo:
125 = 5 * 5 * 5 = 5³
25 = 5 * 5 = 5²
d)
Potęga liczby 10 :
10000⁶ = (10⁴)⁶ = 10²⁴
100⁹ = (10²)⁹ = 10¹⁸
Bo :
10000 = 10 * 10 * 10 * 10 = 10⁴
100 = 10 * 10 = 10²
