Question

Calcule:
(Potenciação)
Desde já agradeço.​

Answer 1

Resposta:

$=\boxed{0.100000001}$

Explicação passo-a-passo:

$\dfrac{\dfrac{1}{1000}\cdot \left(\dfrac{1}{100}\right)^2}{\left(\dfrac{1}{10}\right)^2}+\dfrac{10^3\cdot \left(\dfrac{1}{10}\right)^{-1}}{10^5}\\\\\dfrac{\dfrac{1}{10^3}\cdot \dfrac{1}{10^4}}{\dfrac{1}{10^2}}+\dfrac{10^3\cdot 10^1}{10^5}\\\\\dfrac{\dfrac{1}{10^7}}{\dfrac{1}{10^2}}+\dfrac{10^4}{10^5}\\\\\dfrac{1}{10^7}\times \dfrac{1}{10^2}+\dfrac{10^4}{10^5}\\\\\dfrac{1}{10^9}+\dfrac{10^4}{10^5}\\\\\dfrac{1}{10^9}+\dfrac{1}{10}\\\\\dfrac{1+10^8}{10^9}\\=\boxed{0.100000001}$