Question

Escreva a expressão como única potência de base 10:


$\frac{1000.0,001.10}{(100)^2.0,00001.10}$

Answer 1

$1000 = 10^{3} \\0,001 = 10^{-3} \\ (100)^{2} = (10^{2})^{2} = 10^{4} \\ 0,00001 = 10^{-5}$

Logo:

$E = \frac{1000.0,001.10}{(100)^{2}.0,00001.10}\\\\ E = \frac{10^{3}.10^{-3}.10}{10^{4}.10^{-5}.10} \\\\ E = \frac{10^{3-3+1}}{10^{4-5+1}} \\\\ E = \frac{10^{1}}{10^{0}} \\\\ E = \frac{10}{1} \\\\ E = 10$