Bonsoir,
[tex]2^3*2^4 = 2^{3+4} = 2^7\\3^{-9}*3^5 = 3^{-9 + 5} = 3^{-4}\\6^2*6^5*6^{-4} = 6^{2+5-4} = 6^3\\\frac{5^{-3}}{5^2} = 5^{-3-2} = 5^{-5}\\((-3)^5)^2 = (-3)^{5*2} = (-3)^{10} = 3^{10}\\5^4*2^4 = (5*2)^4 = 10^4[/tex]
Ce qu'il faut retenir:
[tex]a^b * a^c = a^{b+c}\\\frac{a^b}{a^c} = a^{b-c}\\((a)^b)^c = a^{b*c}\\a^c*b^c = (a*b)^c[/tex]
Bonne soirée,
Thomas
