Odpowiedź:
1.
a)
2⁹ * 15³ = (2²)³ * 15³ = 4³ * 15³ = (4 * 15)³ = 60³
b)
21⁸ : 7⁸ = (21/7)⁸ = 3⁸
c)
4 * 2⁹ = 2² * 2⁹ = 2²⁺⁹ = 2¹¹
d)
27 * 9² = 3³ * (3²)² = 3³ * 3⁴ = 3³⁺⁴ = 3⁷
e)
4⁷ * 0,5¹² = (2²)⁷ * (1/2)¹²= 2¹⁴ * 2⁻¹² = 2¹⁴⁻¹² = 2²
f)
3⁴ + 3⁴ + 3⁴ = 3 * 3⁴ =3¹⁺⁴ = 3⁵
g)
(2 * 16)/8³ = (2 * 2⁴)/(2³)³ =2¹⁺⁴/2⁹ = 2⁵/2⁹ = 2⁵⁻⁹ = 2⁻⁴
h)
(9² * 27³)/3⁹ = [(3²)² * (3³)³]/3⁹ = (3⁴ *3⁹)/3⁹ = 3⁴⁺⁹/3⁹ = 3¹³/3⁹ = 3¹³⁻⁹ = 3³
2.
[3⁴ * (3³)²]/(3⁵ : 3²)³ = (3⁴ * 3⁶)/(3⁵⁻²)³ = 3⁴⁺⁶/(3³)³ =3¹⁰/3⁹ = 3¹⁰⁻⁹ = 3¹ = 3
