Question

$$=50\frac{km}{h}\times\frac{1000m}{1\ km}\times\frac{1h}{3600s}=$$

Answer

$$s=1/(180000000*k^2*m^3*h^2)$$

Solution


Divide both sides by \(50\).
\[\frac{1}{50}=kmh\times 1000m\times 1\times km\times 1\times h\times 3600s\]
Take out the constants.
\[\frac{1}{50}=(1000\times 3600)kkmmmhhs\]
Simplify  \(1000\times 3600\)  to  \(3600000\).
\[\frac{1}{50}=3600000kkmmmhhs\]
Divide both sides by \(3600000\).
\[\frac{\frac{1}{50}}{3600000}=kkmmmhhs\]
Simplify  \(\frac{\frac{1}{50}}{3600000}\)  to  \(\frac{1}{50\times 3600000}\).
\[\frac{1}{50\times 3600000}=kkmmmhhs\]
Simplify  \(50\times 3600000\)  to  \(180000000\).
\[\frac{1}{180000000}=kkmmmhhs\]
Simplify  \(kkmmmhhs\)  to  \({k}^{2}{m}^{3}{h}^{2}s\).
\[\frac{1}{180000000}={k}^{2}{m}^{3}{h}^{2}s\]
Divide both sides by \({k}^{2}\).
\[\frac{\frac{1}{180000000}}{{k}^{2}}={m}^{3}{h}^{2}s\]
Simplify  \(\frac{\frac{1}{180000000}}{{k}^{2}}\)  to  \(\frac{1}{180000000{k}^{2}}\).
\[\frac{1}{180000000{k}^{2}}={m}^{3}{h}^{2}s\]
Divide both sides by \({m}^{3}\).
\[\frac{\frac{1}{180000000{k}^{2}}}{{m}^{3}}={h}^{2}s\]
Simplify  \(\frac{\frac{1}{180000000{k}^{2}}}{{m}^{3}}\)  to  \(\frac{1}{180000000{k}^{2}{m}^{3}}\).
\[\frac{1}{180000000{k}^{2}{m}^{3}}={h}^{2}s\]
Divide both sides by \({h}^{2}\).
\[\frac{\frac{1}{180000000{k}^{2}{m}^{3}}}{{h}^{2}}=s\]
Simplify  \(\frac{\frac{1}{180000000{k}^{2}{m}^{3}}}{{h}^{2}}\)  to  \(\frac{1}{180000000{k}^{2}{m}^{3}{h}^{2}}\).
\[\frac{1}{180000000{k}^{2}{m}^{3}{h}^{2}}=s\]
Switch sides.
\[s=\frac{1}{180000000{k}^{2}{m}^{3}{h}^{2}}\]