(0.00004*15000000*6000*0.01)/(0.00005*200*0.002)

asked by guest
on Mar 30, 2025 at 7:32 am



You asked:

Evaluate the expression: 0.00004⋅15000000⋅6000⋅0.010.00005⋅200⋅0.002\frac{0.00004 \cdot 15000000 \cdot 6000 \cdot 0.01}{0.00005 \cdot 200 \cdot 0.002}

MathBot Answer:

0.00004⋅15000000⋅6000⋅0.010.00005⋅200⋅0.002=1800000000\frac{0.00004 \cdot 15000000 \cdot 6000 \cdot 0.01}{0.00005 \cdot 200 \cdot 0.002} = 1800000000

0.00004⋅15000000⋅6000⋅0.010.00005⋅200⋅0.002=125000⋅15000000⋅6000⋅0.010.00005⋅200⋅0.002=600⋅6000⋅0.010.00005⋅200⋅0.002=3600000⋅0.010.00005⋅200⋅0.002=3600000⋅11000.00005⋅200⋅0.002=360000.00005⋅200⋅0.002=36000120000⋅200⋅0.002=360001100⋅0.002=360001100⋅1500=36000150000=1800000000\begin{aligned}\frac{0.00004 \cdot 15000000 \cdot 6000 \cdot 0.01}{0.00005 \cdot 200 \cdot 0.002}&=\frac{\frac{1}{25000} \cdot 15000000 \cdot 6000 \cdot 0.01}{0.00005 \cdot 200 \cdot 0.002}\\&=\frac{600 \cdot 6000 \cdot 0.01}{0.00005 \cdot 200 \cdot 0.002}\\&=\frac{3600000 \cdot 0.01}{0.00005 \cdot 200 \cdot 0.002}\\&=\frac{3600000 \cdot \frac{1}{100}}{0.00005 \cdot 200 \cdot 0.002}\\&=\frac{36000}{0.00005 \cdot 200 \cdot 0.002}\\&=\frac{36000}{\frac{1}{20000} \cdot 200 \cdot 0.002}\\&=\frac{36000}{\frac{1}{100} \cdot 0.002}\\&=\frac{36000}{\frac{1}{100} \cdot \frac{1}{500}}\\&=\frac{36000}{\frac{1}{50000}}\\&=1800000000\end{aligned}

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