Question

Alguém ajuda? questão de potenciação

Gabarito: 100​

Answer 1

Resposta:

$\frac{10^{n+2}-10^{n-1}}{10^2-10^{n-3}}$

$\frac{10^n*10^2-10^n*10^{-1}}{10^n-10^n*10^{-3}}$

$\frac{10^n(10^2-10^{-1})}{10^n(1-10^{-3})}$

$\frac{10^2-10^{-1}}{1-10^{-3}}$

$\frac{10^2-10^3}{1-10^1}$

$\frac{(10*10)-(10*10*10)}{1-10}$

$\frac{100-1000}{-9}$

$\frac{-900}{-9}$

$\frac{900}{9}$

$\frac{9*100}{9*1}$

$100$