Odpowiedź:
a) (5/3)³ : (2 1/2)³ = (5/3)³ : (5/2)³ = (5/3)³ * (2/5)³ = (10/15)³ = 1000/3375
b) (2⁵: 2³)⁶ : 2¹⁰ = (2⁵⁻³)⁶ : 2¹⁰ = (2²)⁶ : 2¹⁰ = 2¹²⁻¹⁰ = 2² = 4
10⁶ * 10⁸ * (10²)³ 10⁶ * 10⁸ * 10⁶ 10⁶⁺⁸⁺⁶ 10²⁰
c) ----------------------- = --------------------- = ------------ = ------ = 10²⁰⁻¹⁶= 10⁴
10¹⁶ 10¹⁶ 10¹⁶ 10¹⁶
= 10000
d) 27³ * 3⁹ : 9⁸ = (3³)³ * 3⁹ : (3²)⁸ = 3⁹ * 3⁹ : 3¹⁶ = 3⁹⁺⁹⁻¹⁶ = 3² = 9
11⁶ * 3⁵ 11¹ * 11⁵ * 3⁵ 11¹ * 33⁵ 11 * 1
e) ------------- = ---------------- = -------------- = --------- = 11
33⁵ 33⁵ 33⁵ 1
f) (- 5)⁷ * 5⁵ : 5¹⁰ = - (5⁷) * 5⁵ : 5¹⁰ = - (5⁷ * 5⁵ : 5¹⁰) = - (5⁷⁺⁵⁻¹⁰) = - (5²) = - 25
Szczegółowe wyjaśnienie:
