Resposta:

[tex]A)\\ \\ 11^{8} .11^{-7} =11^{8+(-7)} =11^{8-7} =11^{1} =11\\ \\ B)\\ \\ 10^{-6} .10.10^{4}=10^{-6}.10^{1} .10^{4} =10^{-6+1+4} =10^{-1} ~ou~\frac{1}{10} \\ \\ C)\\ \\ \frac{3^{6} }{3^{7} } =3^{6-7} =3^{-1} ~ou~\frac{1}{3} \\ \\ D)\\ \\5^{9} :5^{-3} =5^{9-(-3)} =5^{9+3} =5^{12} \\ \\ E)\\ \\ \frac{(a^{2})^{5} }{a^{-4} } =\frac{a^{2.5} }{a^{-4} } =\frac{a^{10} }{a^{-4} }=a^{10-(-4)} =a^{10+4} =a^{14}[/tex]

A) 11⁸ • 11 -⁷ = 11⁸-⁷ = 11¹

B) 10 -⁶ • 10 • 10⁴ = 10-⁶+¹+⁴ = 10-⁶+⁵ = 10-¹

C) 3⁶ : 3⁷ = 3⁶-⁷ = 3-¹

D) 5⁹ : 5 -³ = 5⁹-(-³) = 5⁹+³ = 5¹²

E) ( a² )⁵:(a -⁴) = (a)¹⁰:(a)-⁴ = a¹⁰-(-⁴) = a¹⁰+⁴ = a¹⁴

✨ Abençoada noite ✨

17/04/22