Odpowiedź:
zad 5
a) (2⁸)⁶ = 2⁴⁸
b) [(- 3)⁷]³ = (- 3)²¹
c) [(- 0,1)²]⁹ = (- 0,1)¹⁸
d) [(5²)³]⁴ = 5²⁴
zad 6
a) 4⁹ = (2²)⁹ = 2¹⁸
b) 32¹² = (2⁵)¹² = 2⁶⁰
c) (8²)³ = 8⁶ = (2³)⁶ = 2¹⁸
d) (16³)⁴ = 16¹² = (2⁴)¹² = 2⁴⁸
zad 6
a) 100⁴ : 50⁴ = (100/50)⁴ = 2⁴ = 16
b) (5 1/2)¹⁰ * (2/11)¹⁰ = (5 1/2 * 2/11) ¹⁰ = (11/2 * 2/11)¹⁰ = 1¹⁰ = 1
c) (- 0,9)³ : 9³ = (- 0,9 : 9)³ = (- 0,1)³ = - 0,1³ = - 0,001
d) (- 5/13)³ : (1/13)³ = (- 5/13 : 1/13)³ = (- 5/13 * 13)³ = - 5³ = - 125
