Question

Qual é a resposta? Desta conta!

Answer 1

Resposta:

$\textsf{Segue a resposta abaixo}$

Explicação passo-a-passo:

$\sf\left[\dfrac{9\cdot\left(3^{-2}\right)^3\cdot3^{-3}}{3^{-6}\cdot3}\right]=$

$\mathsf{=\left[\dfrac{9\cdot\left(\left(\dfrac{1}{3}\right)^2\right)^3\cdot\left(\dfrac{1}{3}\right)^3}{\left(\dfrac{1}{3}\right)^6\cdot3}\right]= }$

$\mathsf{ =\left[\dfrac{9\cdot\left(\dfrac{1}{3}\right)^6\cdot\left(\dfrac{1}{3}\right)^3}{\left(\dfrac{1}{3}\right)^5}\right]=}$

$\mathsf{ =\left[\dfrac{(3)^2\cdot\left(\dfrac{1}{3}\right)^6\cdot\left(\dfrac{1}{3}\right)^3}{\left(\dfrac{1}{3}\right)^5}\right]=}$

$\mathsf{=\left[\dfrac{\left(\dfrac{1}{3}\right)^4\cdot\left(\dfrac{1}{3}\right)^3}{\left(\dfrac{1}{3}\right)^5}\right]= }$

$\mathsf{=\left[\dfrac{\left(\dfrac{1}{3}\right)^7}{\left(\dfrac{1}{3}\right)^5}\right]= }$

$\mathsf{=\left(\dfrac{1}{3}\right)^7\cdot(3)^5= }$

$\mathsf{=\left(\dfrac{1}{3}\right)^2= }$

$\sf \boxed{\boxed{ \mathsf{=\dfrac{1}{9}}} }$