Question

sendo a=10^-4, b= 10^-5 e c= 10^3 determine a^2.b^2 ____ c^2

Answer 1

$a = 10^{-4}; b = 10^{-5}; c = 10^{3}$
$\frac{a^2 . b^2}{c^2} = \frac{({10^{-4})}^2.({10^{-5})}^2}{(10^{3})^2} = \frac{10^{-8}.10^{-10}}{10^6} = \frac{10^{(-8) + (-10)}}{10^6} = \frac{10^{-18}}{10^6} \\ = 10^{(-18) - (6)} = 10^{-24}$

bons estudos!!