Question

Função exponencial, simplifique:
$\sqrt[4]{ \frac{(0.001) \times (0.16)}{1000} }$
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Answer 1

Resposta:

1/50

Explicação passo-a-passo:

Temos:

raiz4(0,001 . 0,16 / 1000)=

(0,001 . 0,16 / 1000)^(1/4)=

{(1/1000).(16/100).(1/1000)}^(1/4)=

{(1/1000)^2 . (16/100)}^(1/4)=

{(1/(10^3))^2 . ((4^2)/(10^2)}^(1/4)=

{(10^(-3))^2 . (4/10)^2}^(1/4)=

{10^[(-3).2] . (2/5)^2}^(1/4)=

{10^(-6) . (2/5)^2}^(1/4)=

{10^(-6)}^(1/4) . {(2/5)^2}^(1/4)=

10^[(-6).(1/4)] . (2/5)^[2.(1/4)]=

10^(-6/4) . (2/5)^(2/4)=

10^(-3/2) . (2/5)^(1/2)=

raiz(10^(-3)) . raiz(2/5)=

raiz(1/1000 . 2/5)=

raiz(2/5000)=

raiz(1/2500)=

raiz(1)/raiz(2500)=

1/50

Blz?

Abs :)