Odpowiedź:
3.
8⁵ * (0,25)⁵ : 16⁻² * √2 = (2³)⁵ * (1/4)⁵ : (1/16)² * 2¹⁾² =
= 2¹⁵ * [(1/2)²]⁵ : [(1/2)⁴]² * 2¹⁾² = 2¹⁵ * (1/2)¹⁰ : (1/2)⁸ * 2¹⁾² =
= 2¹⁵ * 2⁻¹⁰ : 2⁻⁸ * 2¹⁾² = 2¹⁵⁻¹⁰ : 2⁻⁸ * 2¹⁾² = 2⁵ : 2⁻⁸ * 2¹⁾² = 2⁵⁻⁽⁻⁸⁾ * 2¹⁾² =
= 2⁵⁺⁸ * 2¹⁾² = 2¹³ * 2¹⁾² = 2¹³⁺¹⁾² = 2¹³ ¹⁾²
4.
(4 - √5)(4 + √5) + (√5 + 1)² = 4² - (√5)² + (√5)² + 2√5 + 1 =
= 16 - 5 + 5 + 2√5 + 1 = 17 + 2√5
5.
(x - 5)² + (2x - 3)(2x + 3) + 10x = x² - 10x + 25 + 4x² - 9 + 10x =
= 5x² + 16x
