Question

Oblicz:

a) (⅕)⁻¹ + (⅕)⁻²

b) (⅓-½)⁻¹

c) (⅓-⅕)⁻³ : (⅕+⅓)⁻3

Answer 1

a) (⅕)⁻¹ + (⅕)⁻²= 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= 7,5³ : (15/8)³

 

 

pozdrawiam ;**

Answer 2

(⅕)⁻¹ + (⅕)⁻² = 5 + 5² = 5 + 25 = 30

 

(⅓ - ½)⁻¹ = (²/₆ - ³/₆)⁻¹ = (-¹/₆)⁻¹ = -6

 

(⅓-⅕)⁻³ : (⅕+⅓)⁻³ = [(⁵/₁₅ - ³/₁₅) : (³/₁₅ + ⁵/₁₅)]⁻³ = (²/₁₅ : ⁸/₁₅)⁻³ = (²/₁₅ × ¹⁵/₈)⁻³ = (¼)⁻³ = 4³ = 64