Question

simplifique a expressão : 0,001.(0,01)^3/1000.0,00001

Answer 1

Olá.

$\mathsf{\dfrac{0,001\cdot(0,01)^3}{1000\cdot0,00001}=} \\\\\\\mathsf{\dfrac{10^{-3}\cdot(10^{-2})^3}{10^3\cdot10^{-5}}=} \\\\\\\mathsf{\dfrac{10^{-3}\cdot(10^{-2\cdot3})}{10^{3+(-5)}}=} \\\\\\\mathsf{\dfrac{10^{-3}\cdot(10^{-6})}{10^{3-5}}=}\\\\\\\mathsf{\dfrac{10^{-3+(-6)}}{10^{-2}}=}\\\\\\\mathsf{\dfrac{10^{-3-6}}{10^{-2}}=}\\\\\\\mathsf{\dfrac{10^{-9}}{10^{-2}}=}\\\\\mathsf{10^{-9-(-2)}=} \\\\\mathsf{10^{-9+2}=}\\\\\boxed{\mathsf{10^{-7}}}$

Qualquer dúvida, deixe nos comentários.
Bons estudos.