Calcul algébrique : Test de niveau 2

Calculez \(\sqrt[8]{a^6}\sqrt[12]{a^5}\sqrt[6]{a}\).

Simplifiez l'expression \(\dfrac{\sqrt[3]{5}}{\sqrt{5a}}\cdot\dfrac{a\sqrt{30}}{\sqrt[3]{60a^2}}\).

Calculez \(\left(\dfrac{9}{-16}-\dfrac{-9}{16}\right)-\left(\dfrac{53}{24}-\dfrac{73}{36}\right)\).

Calculez \(\dfrac{\sqrt{20}-2\sqrt{10}-1}{\sqrt{5}}\).

Si \(a=0,2\), \(b=-0,1\) et  \(c=-0,5\), calculez \((\frac{a}{b}+\frac{b}{c})\cdot \frac{c}{a}\).

Calculez \(\dfrac{\sqrt{14}+\sqrt{15}}{\sqrt{7}-\sqrt{5}}\).

Calculez \(\dfrac{\sqrt[4]{4a^4}}{\sqrt[3]{2a}}\).

Calculez \(\dfrac{a-b}{b}-\dfrac{a+b}{2b}-1\).

Calculez \(3\left(\dfrac{2}{3}\left(\dfrac{3}{4}-\dfrac{1}{8}\right)-1\right)+\dfrac{5}{6}\).

Calculez \(\left(\dfrac{5}{16}\left(\dfrac{3}{10}+\dfrac{1}{2}\right)-\dfrac{1}{8}\right)\left(-\dfrac{5}{2}\right)\).