Αριθμητικές παραστάσεις με ριζικά

Να υπολογιστούν οι τιμές των παραστάσεων:

1. $|[{\displaystyle \frac{(5-7{)}^3}{4^2}}{]}^{-7}|+{\displaystyle \frac{\sqrt{300}+\sqrt{108}+\sqrt{48}}{\sqrt{27}+\sqrt{12}}}$

2. ${\displaystyle \frac{\sqrt{121}+{\displaystyle \frac{1}{\sqrt{169}}}}{\sqrt{25}+{\displaystyle \frac{\sqrt{144}}{3}}}}+{\displaystyle \frac{5}{\sqrt{256}}}+{\displaystyle \frac{\sqrt{196}}{\sqrt{49}+{\displaystyle \frac{1}{\sqrt{9}}}}}$

3. ${\displaystyle \frac{\sqrt[3]{27}+{\displaystyle \frac{1}{\sqrt[4]{16}}}}{\sqrt{49}+{\displaystyle \frac{\sqrt[5]{32}}{2}}}}+{\displaystyle \frac{1}{2^{-3}}}+{\displaystyle \frac{\sqrt[6]{64}}{\sqrt[7]{128}+{\displaystyle \frac{1}{\sqrt[8]{256}}}}}$

4. ${\left({\displaystyle \frac{\sqrt[3]{64}+{\displaystyle \frac{1}{\sqrt[5]{25}}}}{\sqrt{81}+{\displaystyle \frac{\sqrt[4]{256}}{4}}}}\right)}^{-3}+{\displaystyle \frac{1}{3^{-2}}}+{\displaystyle \frac{\sqrt[6]{128}}{{(\sqrt[7]{216}+{\displaystyle \frac{1}{\sqrt[9]{512}}})}^{-2}}}$