Question

Calcule e determine o valor da expressão!
(Deixem os cálculos POR FAVOR!!!)

Answer 1

$a=10^-^1$
$b=10^-^2$

$\frac{a.b^-^2.(a^-^1.b^2)^4.(a.b^-^1)^2}{a^-^3.b.(a^2.b^-^1).(a^-^1.b)}=$

$\frac{10^-^1.(10^-^2)^-^2.[(10^-^1)^-^1.(10^-^2)^2]^4.[10^-^1.(10^-^2)^-^1]^2}{(10^-^1)^-^3.10^-^2.[(10^-^1)^2.(10^-^2)^-^1].[(10^-1)^-^1.10^-^2]}=$

$\frac{10^-^1.10^4.[10^1.10^-^4]^4.[10^-^1.10^2]^2}{10^3.10^-^2.10^-^2.10^2.10.10^-^2}=$

$\frac{10^-^1.10^4.10^4.10^-^1^6.10^-^2.10^4}{10^3.10^-^2.10^-^2.10^2.10.10^-^2}=$

$\frac{10^-^1^+^4^+^4^+^(^-^1^6^)^+^(^-^2^)^+^4}{10^3^+^(^-^2^)^+^(^-^2^)^+^2^+^1^+^(^-^2^)}=$

$\frac{10^-^7}{10^0}= \frac{10^-^7}{1}=10^-^7$