Odpowiedź:
zad 8
a)
8⁻² = (1/8)² = 1/64
(- 8)² = 64
- 8⁻² = - (1/8)² = - 1/64
- (- 1/2)² = - 1/4
b)
4³ = 64
(- 4)⁻³ = (- 1/4)³ = - 1/64
- 4⁻³ = - (1/4)³ = - 1/64
- (- 1/4)⁻³ = - (- 4)³ = - (- 64) = 64
c)
(1/3)⁻⁴ = 3⁴ = 81
(- 1/3)⁴ = (1/3)⁴ = 1/81
- (- 1/3)⁻⁴ = - (- 3)⁴ = - 81
d)
(√2)⁻⁶ = (1/√2)⁶ = 1/(2¹⁾²)⁶ =1/2⁶⁾² = 1/2³ = 1/8
(- √2)⁶ = (√2)⁶ = (2¹⁾²)⁶ = 2⁶⁾³ = 2³ = 8
- (- √2)⁻⁶ = - (- 1/√2)⁶ = - (1/√2)⁶ = - 1/8
¹⁾² - znaczy do potęgi 1/2
