Question

Observando que 0,001 = $\frac{1}{1000}$ = $\frac{1}{ 10^{3} }$ = $10^{-3}$, escreva o valor mais simples da expressão: $\frac{(0,1)^{5}. (0,01)^{4}.100}{ (0,001)^{3} }$

Answer 1

1.10^-5.1.10^-8.1.10^2/1.10^-9
1.10^-5.1.10^-8.1.10^2.10^9 = 1.10^-2 = 0,01

Answer 2

$\boxed{ \frac{(10^{-1})^{5}.(10^{-2})^{4}).10^{2}}{(10^{-3})^3} = \frac{10^{-5}.10^{-8}.10^{2}}{10^{-9}}= \frac{10^{-11}}{10^{-9}} =10^{-2}=0,01}$