Question

simplifique as expressões:
a) (9²⁴.9 a quinta potência . 9⁴) : (9 a quinta potência) ³ : (9³)²=

Answer 1

Olá.

$\\ \mathsf{\dfrac{\dfrac{9^{24} \times 9^{5} \times 9^{4}}{(9^{5})^{3}}} {\dfrac{(9^{3})^{2}}{1}} =} \\ \\ \\ \mathsf{\dfrac{\dfrac{9^{33}}{9^{15}}}{\dfrac{9^{6}}{1}} =} \\ \\ \\ \mathsf{\dfrac{9^{18}}{1} \times \dfrac{1}{9^{6}} =} \\ \\ \\ \mathsf{\dfrac{9^{18}}{9^{6}} =} \\ \\ \\ \mathsf{9^{12} =} \\ \\ \\ \mathsf{(3^{2})^{12} =} \\ \\ \\ \mathsf{3^{24}}$

Bons estudos.

Answer 2

           $\frac{ 9^{24}.9^5.9^4 }{(9^5)^3} = \frac{9^3^3}{9^1^5} = 9^{33-15} =9^1^8$
  
         $\frac{9^1^8}{(9^3)^2} = \frac{9^1^8}{9^6} = 9^1^2$