Question

Recompensa: 70 pontos.

Gincana da noite.

I) O valor numérico da expressão é:
$\boxed{ \frac{35 {}^{ - 1} .40 {}^{ - 1} .10 {}^{2}. 5.100}{2 {}^{3} .14 {}^{ - 1} .5.25} }$
Boa sorte :v
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Answer 1

$\dfrac{35 {}^{ - 1} .40 {}^{ - 1} .10 {}^{2}. 5.100}{2 {}^{3} .14 {}^{ - 1} .5.25} \\ \\ \dfrac{ \dfrac{1}{35} \times \dfrac{1}{40} \times 100 \times 500}{8 \times \dfrac{1}{14} \times 125} \\ \\ \dfrac{ \dfrac{50000}{1400} }{ \dfrac{1000}{14}} \\ \\ \dfrac{500}{14} \times \dfrac{14}{1000} \\ \\ \dfrac{1}{2}$

Answer 2

$\boxed{ \frac{35 {}^{ - 1} .40 {}^{ - 1} .10 {}^{2}. 5.100}{2 {}^{3} .14 {}^{ - 1} .5.25} }$

$\frac{ \frac{1}{35} \times \frac{1}{40} \times 5 \times {10}^{4} }{8 \times \frac{1}{14} \times {5}^{3} }$

$\frac{ \frac{5 \times {10}^{4} }{14 \times {10}^{2} } }{ \frac{ {10}^{3} }{14} }$

$\frac{5 \times 10^{4} }{14 \times {10}^{2} } \times \frac{14}{ {10}^{3} }$

$\frac{1}{2}$