Question

1. Oblicz stosując prawo działań na potęgach

a) 3⁻³ * (1/9)⁻³

b) 5² : 5⁻⁶

c) (3⁻²)⁻³ : 3⁸

d) (3,75)⁻³ * (1,6⁻³

* mnożenie

: dzielenie

Answer 1

a) 3⁻³ * (1/9)⁻³ = 3⁻³ * 9³ = 3⁻³ * (3²)³ = 3⁻³ * 3⁶ = 3⁻³ ⁺ ⁶ = 3³

b) 5² : 5⁻⁶ = 5² ⁺ ⁶ = 5⁸

c) (3⁻²)⁻³ : 3⁸ = 3⁶ : 3⁸ = 3⁶ ⁻ ⁸ = 3⁻²

d) (3,75)⁻³ * (1,6)⁻³ = (3,75 * 1,6)⁻³ = 6⁻³

Answer 2

a) -9 * - (1/27) = 1/3

b) 25 : 3125 = 125

c) -9

d) 52,73 * 4,01