40. Вычислите: 1) ⁴√324 : ⁴√4; 2) ∛128 : ∛2000; 3) ∛16 : ∛2; 4) ⁵√256 : ⁵√8; 5) (√25 − √45) : √5; 6) (∛625 − ∛5) : ∛5.

1. \(\sqrt[4]{324}:\sqrt[4]{4}=\sqrt[4]{\frac{324}{4}}=\sqrt[4]{81}=3\).
2. \(\sqrt[3]{128}:\sqrt[3]{2000}=\sqrt[3]{\frac{128}{2000}}=\sqrt[3]{\frac{8}{125}}=\frac{2}{5}\).
3. \(\sqrt[3]{16}:\sqrt[3]{2}=\sqrt[3]{\frac{16}{2}}=\sqrt[3]{8}=2\).
4. \(\sqrt[5]{256}:\sqrt[5]{8}=\sqrt[5]{\frac{256}{8}}=\sqrt[5]{32}=2\).
5. \((\sqrt{25}-\sqrt{45}):\sqrt5=(5-3\sqrt5):\sqrt5=\sqrt5-3\).
6. \((\sqrt[3]{625}-\sqrt[3]{5}):\sqrt[3]{5}=(5\sqrt[3]{5}-\sqrt[3]{5}):\sqrt[3]{5}=4\).

Ответ: 1) \(3\); 2) \(\frac{2}{5}\); 3) \(2\); 4) \(2\); 5) \(\sqrt5-3\); 6) \(4\).