Question

Qual o valor numérico da expressão

Answer 1

Resposta:

$\textsf{Segue a resposta abaixo}$

Explicação passo-a-passo:

$\mathsf{ \left[\dfrac{\dfrac{1}{35}\cdot\dfrac{1}{40}\cdot(10)^2\cdot5\cdot100}{(2)^3\cdot\dfrac{1}{14}\cdot5\cdot25}\right]=\left[\dfrac{\dfrac{1}{1400}\cdot(10)^2\cdot5\cdot100}{(2)^3\cdot\dfrac{1}{14}\cdot5\cdot25}\right]}$

$\mathsf{\left[\dfrac{\dfrac{1}{1400}\cdot(10)^2\cdot5\cdot100}{(4\cdot\diagup\!\!\!\!2)\cdot\left(\dfrac{1}{\diagup\!\!\!\!2\cdot7}\right)\cdot5\cdot25}\right]=\left[\dfrac{\left(\dfrac{1}{14\cdot~\!\diagup\!\!\!\!\!\!100}\right)\cdot~\!\diagup\!\!\!\!\!\!100\cdot5\cdot100}{\dfrac{4}{7}\cdot5\cdot25}\right] }$

$\mathsf{ \left[\dfrac{\dfrac{1}{14}\cdot5\cdot100}{\dfrac{20}{7}\cdot25}\right]=\left[\dfrac{\dfrac{5}{14}\cdot100}{\dfrac{500}{7}}\right]}$

$\mathsf{\left[\dfrac{\left(\dfrac{5}{7\cdot\diagup\!\!\!\!2}\right)\cdot(\diagup\!\!\!\!2\cdot50)}{\dfrac{500}{7}}\right] =\left[\dfrac{\dfrac{250}{7}}{\dfrac{500}{7}}\right]}$

$\mathsf{\left(\dfrac{~\!\diagup\!\!\!\!\!\!250}{\diagup\!\!\!\!7}\right)\cdot\left(\dfrac{\diagup\!\!\!\!7}{~\!\diagup\!\!\!\!\!\!250\cdot2}\right)=\dfrac{1}{2}}$

$\boxed{\boxed{\mathsf{\left[\dfrac{35^{-1}\cdot40^{-1}\cdot10^2\cdot5\cdot100}{2^3\cdot14^{-1}\cdot5\cdot25}\right]=\dfrac{1}{2}}} }$

Answer 2

Espero tê-lo (a)ajudado
Boa tarde
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