Question

1.

Oblicz: PROSZĘ O WSZYSTKIE OBLICZENIA!

Załącznik o nazwie Matma do zadania pierwszego

2. Przedstaw w postaci potęgi:

Załącznik o nazwie 20121113_150448 do zadania drugiego.

Answer 1

1.

(-3)⁻² = (-1/3)² = 1/9

4) 

(6⁻¹ + 3⁻¹)⁻³ = (1/6 + 1/3)⁻³ = (1/6 + 2/6)⁻³ = (3/6)⁻³ = (1/3)⁻³ = 3³ = 27

5)

(3/7)⁵ × (2⅓)³ = (3/7)⁵ × (7/3)³ = (3/7)⁵ × (3/7)⁻³ = (3/7)² = 9/49

6)

(1⅓)⁻³ = (4/3)⁻³ = (3/4)³ = 27/64

 

2.

1)

(-80)⁴⁰ : 40⁴⁰ = (-80/40)⁴⁰ = (-4)⁴⁰ = 4⁴⁰

2)

 

(a³×a⁶)²:(a²×a)³           (a⁹)² : (a³)³          a¹⁸ : a⁹

--------------------    =   -----------------   =   ------------   =   a⁹:a⁶ = a⁹⁻⁶ = a³

    (a⁸:a⁵)²                        (a³)²                   a⁶