Bonsoir,
Exercice 1
1) [tex]A=\dfrac{8}{3}+5:(1-\dfrac{2}{5})[/tex]
[tex]A=\dfrac{8}{3}+5:(\dfrac{5}{5}-\dfrac{2}{5})\\\\A=\dfrac{8}{3}+5:(\dfrac{3}{5})\\\\A=\dfrac{8}{3}+5\times(\dfrac{5}{3})\\\\A=\dfrac{8}{3}+\dfrac{25}{3}\\\\A=\dfrac{33}{3}\\\\A=11[/tex]
[tex]B=\dfrac{55\times10^3\times2^{10}}{10^4\times2^9}\\\\B=55\times10^{3-4}\times2^{10-9}\\\\B=55\times10^{-1}\times2^{1}\\\\B=55\times\dfrac{1}{10}\times2\\\\B=5,5\times2 \\\\B=11.[/tex]
Donc: A = B.
2) [tex]C=\dfrac{4\times10^{14}\times12}{3\times10^{11}}[/tex]
[tex]C=\dfrac{4\times12}{3}\times\dfrac{10^{14}}{10^{11}}\\\\C=16\times10^{14-11}\\\\C=16\times10^3\\\\C=1,6\times10^4[/tex]
