3) \(\(\frac{\sqrt[4]{1024}}{\sqrt[4]{1}}\) = ?; 4) 5\(\text{tg}\)\(\frac{\pi}{4}\) - 6\(\cos\)\(\frac{\pi}{3}\) = ?

Решение:

1. \( \frac{\sqrt[4]{1024}}{\sqrt[4]{1}} = \sqrt[4]{\frac{1024}{1}} = \sqrt[4]{1024} \).
   \( 1024 = 2^{10} \).
   \( \sqrt[4]{1024} = \sqrt[4]{2^{10}} = 2^{10/4} = 2^{5/2} = \sqrt{2^5} = \sqrt{32} = 4\sqrt{2} \).
2. \( 5\text{tg}\frac{\pi}{4} - 6\cos\frac{\pi}{3} \)
   Знаем, что \( \text{tg}\frac{\pi}{4} = 1 \) и \( \cos\frac{\pi}{3} = 1/2 \).
   \( 5 \cdot 1 - 6 \cdot \frac{1}{2} = 5 - 3 = 2 \)

Ответ: 3) \( 4\sqrt{2} \); 4) \( 2 \).