Question

Execute a seguinte operação:
Urgente pfv​

Answer 1

Resposta:$\frac{0.006912\cdot \:0.0016^{\frac{1}{2}}}{0.0000000049}\quad \left(\mathrm{Decimal:\quad }\:56424.48979\dots \right)$

Explicação passo-a-passo:

$=\frac{0.003^3\cdot \:0.00007^{-2}\cdot \:160^2}{\left(200\cdot \:0.0008\right)^{-\frac{1}{2}}}\\\\=\frac{0.003^3\cdot \:0.00007^{-2}\cdot \:160^2}{200^{-\frac{1}{2}}\cdot \:0.0008^{-\frac{1}{2}}}\\\\=\frac{0.003^3\cdot \:0.00007^{-2}\cdot \:40^2\cdot \:4^2}{200^{-\frac{1}{2}}\cdot \:0.0008^{-\frac{1}{2}}}\\\\=\frac{0.003^3\cdot \:0.00007^{-2}\cdot \:40^2\cdot \:4^2}{40^{-\frac{1}{2}}\cdot \:5^{-\frac{1}{2}}\cdot \:0.0008^{-\frac{1}{2}}}$

$=\frac{0.003^3\cdot \:0.00007^{-2}\cdot \:40^{\frac{5}{2}}\cdot \:4^2}{5^{-\frac{1}{2}}\cdot \:0.0008^{-\frac{1}{2}}}$

$=\frac{0.003^3\cdot \:0.00007^{-2}\cdot \:5^{\frac{5}{2}}\cdot \:8^{\frac{5}{2}}\cdot \:4^2}{5^{-\frac{1}{2}}\cdot \:0.0008^{-\frac{1}{2}}}\\\\=\frac{0.003^3\cdot \:0.00007^{-2}\cdot \:5^3\cdot \:8^{\frac{5}{2}}\cdot \:4^2}{0.0008^{-\frac{1}{2}}}\\\\=\frac{0.006912\cdot \:0.0016^{\frac{1}{2}}}{0.0000000049}$