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8.
a) (2⁻²)³ : 4⁻⁴ = 2⁻⁶ : (2²)⁻⁴ = 2⁻⁶ : 2⁻⁸ = 2⁻⁶⁻⁻⁸ = 2⁻⁶⁺⁸ = 2² = 4
b) [(⅖)⁻⁴]⁻¹ · (0,4)⁻⁴ = (⅖)⁴ · (⅖)⁻⁴ = (⅖)⁰ = 1
c) 25⁴ : (5⁻²)⁻² = (5²)⁴ : 5⁴ = 5⁸ : 5⁴ = 5⁴ = 625
d) (-6)⁻³ : (-1/36)² = (-6)⁻³ : [(-6)⁻²]² = (-6)⁻³ : (-6)⁻⁴ = (-6)¹ = -6
9. (2³)⁻² = 2⁻⁶
(8⁻⁴)² = [(2³)⁻⁴]² = 2⁻²⁴
(16⁻²)⁻¹ = 16² = (2⁴)² = 2⁸
(4⁰)⁻⁶ = 1
(32⁻¹)² = 32⁻² = (2⁵)⁻² = 2⁻¹⁰
Wniosek: Najmniejsza liczba to 2⁻²⁴, ponieważ ma największy wykładnik, w dodatku ujemny
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8.
a) (2⁻²)³ : 4⁻⁴ = 2⁻⁶ : (2²)⁻⁴ = 2⁻⁶ : 2⁻⁸ = 2⁻⁶⁻⁻⁸ = 2⁻⁶⁺⁸ = 2² = 4
b) [(⅖)⁻⁴]⁻¹ · (0,4)⁻⁴ = (⅖)⁴ · (⅖)⁻⁴ = (⅖)⁰ = 1
c) 25⁴ : (5⁻²)⁻² = (5²)⁴ : 5⁴ = 5⁸ : 5⁴ = 5⁴ = 625
d) (-6)⁻³ : (-1/36)² = (-6)⁻³ : [(-6)⁻²]² = (-6)⁻³ : (-6)⁻⁴ = (-6)¹ = -6
9. (2³)⁻² = 2⁻⁶
(8⁻⁴)² = [(2³)⁻⁴]² = 2⁻²⁴
(16⁻²)⁻¹ = 16² = (2⁴)² = 2⁸
(4⁰)⁻⁶ = 1
(32⁻¹)² = 32⁻² = (2⁵)⁻² = 2⁻¹⁰
Wniosek: Najmniejsza liczba to 2⁻²⁴, ponieważ ma największy wykładnik, w dodatku ujemny