Resposta:
[tex]\textsf{Leia abaixo}[/tex]
Explicação passo a passo:
[tex]\mathsf{a = 10^3}[/tex]
[tex]\mathsf{b = 10^2}[/tex]
[tex]\mathsf{\left(\dfrac{ab^2.(a^1b^2)^4.(ab^1)^2}{a^2b.(a^2b^1)^3.a^1b}\right)}[/tex]
[tex]\mathsf{\left(\dfrac{ab^2.(a^4b^8).(a^2b^2)}{a^2b.(a^6b^3).a^1b}\right)}[/tex]
[tex]\mathsf{\left(\dfrac{a^1.b^2.a^4.b^8.a^2.b^2}{a^2.b^1.a^6.b^3.a^1.b^1}\right)}[/tex]
[tex]\mathsf{\left(\dfrac{a^7.b^{12}}{a^9.b^5}\right)}[/tex]
[tex]\mathsf{a^{-2}.b^7}[/tex]
[tex]\mathsf{(10^3)^{-2}.(10^2)^7}[/tex]
[tex]\mathsf{(10^{-6}).(10^{14})}[/tex]
[tex]\boxed{\boxed{\mathsf{\left(\dfrac{ab^2.(a^1b^2)^4.(ab^1)^2}{a^2b.(a^2b^1)^3.a^1b}\right) = 10^8}}}[/tex]
