Question

URGENTE POR FAVOR
Simplifique a expressão: 18.(10³)^-2 . (10^-2)³ / 3.(10^-1)^2 . (10^2)^-4

Answer 1

Aplicando propriedades de potencias

             $\frac{18. (10^3)^{-2} . (10^{-2})^3 }{3.( 10^{-1})^2.(10^2) ^{-4} } \\ \\ = \frac{18. 10^{-6}. 10^{-6} }{3. 10^{-2} . 10^{-2} } \\ \\ = \frac{18.10 ^{-6-6} }{3. 10^{-2-2} } \\ \\ = \frac{18}{3} . 10^{-12-(-4)} \\ \\ =6 .10^{-8}$