Oblicz:
a) (⅕)⁻¹ + (⅕)⁻²
b) (⅓-½)⁻¹
c) (⅓-⅕)⁻³ : (⅕+⅓)⁻3
a) (⅕)⁻¹ + (⅕)⁻² = 5¹ + 5² = 5+25 = 30
b) (⅓-½)⁻¹ = ( 2/6 - 3/6) ⁻¹ = (-1/6)⁻¹ = -6
c) (⅓-⅕)⁻³ : (⅕+⅓)⁻3 = (5/15 - 3/15)⁻³ : (3/15 + 5/15)⁻³ = (2/15)⁻³ : (8/15)⁻³= (2/15)⁻³ : (8/15)⁻³ = (15/2)³ : (15/8)³ = (15/2)³ * (8/15)³ = 15³/2³ : 8³/15³ = 8³/2³ = (2³)³ / 2³ = 2⁹ / 2³ = 2⁶ = 2*2*2*2*2*2=64
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a) (⅕)⁻¹ + (⅕)⁻² = 5¹ + 5² = 5+25 = 30
b) (⅓-½)⁻¹ = ( 2/6 - 3/6) ⁻¹ = (-1/6)⁻¹ = -6
c) (⅓-⅕)⁻³ : (⅕+⅓)⁻3 = (5/15 - 3/15)⁻³ : (3/15 + 5/15)⁻³ = (2/15)⁻³ : (8/15)⁻³= (2/15)⁻³ : (8/15)⁻³ = (15/2)³ : (15/8)³ = (15/2)³ * (8/15)³ = 15³/2³ : 8³/15³ = 8³/2³ = (2³)³ / 2³ = 2⁹ / 2³ = 2⁶ = 2*2*2*2*2*2=64