Question

$$45 = 3 ^ { 2 } \times 5 , 450$$

Answer

w=1/(450*e*IM*r*t*a*s)

Solution


Simplify  \({3}^{2}\)  to  \(9\).
\[45=9\times 5wr\imath te\times 450as\]
Simplify  \(9\times 5wr\imath te\times 450as\)  to  \(20250wrtas\imath e\).
\[45=20250wrtas\imath e\]
Regroup terms.
\[45=20250e\imath wrtas\]
Divide both sides by \(20250\).
\[\frac{45}{20250}=e\imath wrtas\]
Simplify  \(\frac{45}{20250}\)  to  \(\frac{1}{450}\).
\[\frac{1}{450}=e\imath wrtas\]
Divide both sides by \(e\).
\[\frac{\frac{1}{450}}{e}=\imath wrtas\]
Simplify  \(\frac{\frac{1}{450}}{e}\)  to  \(\frac{1}{450e}\).
\[\frac{1}{450e}=\imath wrtas\]
Divide both sides by \(\imath \).
\[\frac{\frac{1}{450e}}{\imath }=wrtas\]
Simplify  \(\frac{\frac{1}{450e}}{\imath }\)  to  \(\frac{1}{450e\imath }\).
\[\frac{1}{450e\imath }=wrtas\]
Divide both sides by \(r\).
\[\frac{\frac{1}{450e\imath }}{r}=wtas\]
Simplify  \(\frac{\frac{1}{450e\imath }}{r}\)  to  \(\frac{1}{450e\imath r}\).
\[\frac{1}{450e\imath r}=wtas\]
Divide both sides by \(t\).
\[\frac{\frac{1}{450e\imath r}}{t}=was\]
Simplify  \(\frac{\frac{1}{450e\imath r}}{t}\)  to  \(\frac{1}{450e\imath rt}\).
\[\frac{1}{450e\imath rt}=was\]
Divide both sides by \(a\).
\[\frac{\frac{1}{450e\imath rt}}{a}=ws\]
Simplify  \(\frac{\frac{1}{450e\imath rt}}{a}\)  to  \(\frac{1}{450e\imath rta}\).
\[\frac{1}{450e\imath rta}=ws\]
Divide both sides by \(s\).
\[\frac{\frac{1}{450e\imath rta}}{s}=w\]
Simplify  \(\frac{\frac{1}{450e\imath rta}}{s}\)  to  \(\frac{1}{450e\imath rtas}\).
\[\frac{1}{450e\imath rtas}=w\]
Switch sides.
\[w=\frac{1}{450e\imath rtas}\]