5.
[tex]L = \dfrac{\sqrt[4]{96}-\sqrt[4]{64}}{\sqrt[4]{6}-\sqrt[4]{4}}=\dfrac{\sqrt[4]{2^{4}\cdot6}-\sqrt[4]{2^{4}\cdot4}}{\sqrt[4]{6}-\sqrt[4]{4}}=\dfrac{2\sqrt[4]{6}-2\sqrt[4]{4}}{\sqrt[4]{6}-\sqrt[4]{4}}=\dfrac{2(\sqrt[4]{6}-\sqrt[4]{4})}{\sqrt[4]{6}-\sqrt[4]{4}}=2\\\\P = 2\\\\L = P[/tex]
6.
[tex]\sqrt[5]{b} = 2 \ \ |()^{5}\\\\b = 2^{5}\\\\\\\sqrt{a} = b\\\\\sqrt{a} = 2^{5} \ \ |()^{2}\\\\a = (2^{5})^{2} = 2^{10}\\\\\boxed{a = 1024}[/tex]
