Exercice 1
Calculer à la main
Question
\((3^4)^2 ; 4^2 - 4^3 ; 2 × 7^2 - 7 × 2^2\)
Solution
\((3^4)^2 = 6561 ; 4^2 - 4^3 = -48 ; 2 × 7^2 - 7 × 2^2 = 70\)
Question
\(\left(\frac{3}{2}\right)^3 ; \frac{125^2}{5^4} ; \frac{18^2}{45^2} \)
Solution
\(\left(\frac{3}{2}\right)^3 = \frac{27}{8} ; \frac{125^2}{5^4} = 25 ; \frac{18^2}{45^2} = \frac{4}{25}\)
Question
\(\left(\frac{3^4}{3^6}\right)^2 ; (3^{-4})^5 ; (3^{-6})^{-2} ; \frac{5^{-2}× (3^{4})^2 }{(5^{-2} × 3^3)^3}\)
Solution
\(\left(\frac{3^4}{3^6}\right)^2 = \frac{1}{81} ; (3^{-4})^5 = \frac{1}{3486784401} ; (3^{-6})^{-2} = 531441 ; \frac{5^{-2}× (3^{4})^2 }{(5^{-2} × 3^3)^3} = \frac{25}{3}\)