Question

SIMPLIFICANDO A EXPRESSÃO: [\text{y}=\dfrac{(0,0001)^4\times10^27}{100^3}{0,1^6}\cdot(0,01)^3

Answer 1

Olá, Igor.

$\text{y}=\dfrac{(0,0001)^4\times10^{27}}{100^3}\cdot{0,1^6}\cdot(0,01)^3=\\\\=\dfrac{(10^{-4})^4\times10^{27}}{(10^2)^3}\cdot{(10^{-1})^6}\cdot(10^{-2})^3=\\\\=\dfrac{10^{-16}\times10^{27}}{10^6}\cdot10^{-6}\cdot10^{-6}=\\\\=\dfrac{10^{11}}{10^6}\cdot10^{-12}=\\\\=10^5\cdot10^{-12}=\\\\=10^{-7}$