Question

qual e o valor da expressão a.b^-2.(a^-1.b²)^4.(a.b^-1)² / a^-3.b.(a².b^-1.(a^-1.b) quando a=10^-3 e b=10^-2?

Answer 1

a.b^-2.(a^-1.b²)^4.(a.b^-1)² / a^-3.b.(a².b^-1.(a^-1.b) quando
a=10^-3 e b=10^-2?



10^7.10^19 . 10^1 = 10^(7+19+1) ==> 10^27 ==> 10^(27-4) ==> 10^23
10^7. 10^-4. 10^1     10^(7-4+1)           10^4

 a.b^-2. = 10^3.(10^-2)^- 2 ==> 10^3.10^4 ==> 10^7

(a^-1.b²)^4 = [(10^3)^-1.[(10^-2)^2]^4 =>10^-3.10^-16 ==> 10^19

(a.b^-1)² = [10^-3.(10^-2)^-1]^2 ==> 10^-3.10^4 ==>  10^1

a^-3.b = (10^-3)^-3.10^-2 => 10^9.10^-2 => 10^7

(a².b^-1 = (10^-3)^2.(10^-2)^-1 ==> 10^-6.10^2 ==> 10^-4

(a^-1.b) = (10^-3)^-1.10^-2 ==> 10^3.10^-2 ==> 10^1