Question

$$\left. \begin{array} { l } { = 27 \times 10 ^ { - 3 } \times 4 \times 10 ^ { - 2 } } \end{array} \right.$$

Answer

$$n=-(36*10^-5)/(e^2*aLe*a^2*s*o*v^2*r)$$

Solution


Simplify  \(0\times 8\times 0\)  to  \(0\).
\[0-3ansoveraLeave=27\times {10}^{-3}\times 4\times {10}^{-2}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[0-3{a}^{2}nso{v}^{2}{e}^{2}raLe=27\times {10}^{-3}\times 4\times {10}^{-2}\]
Regroup terms.
\[0-3{e}^{2}aLe{a}^{2}nso{v}^{2}r=27\times {10}^{-3}\times 4\times {10}^{-2}\]
Simplify  \(27\times {10}^{-3}\times 4\times {10}^{-2}\)  to  \(108\times {10}^{-3}\times {10}^{-2}\).
\[0-3{e}^{2}aLe{a}^{2}nso{v}^{2}r=108\times {10}^{-3}\times {10}^{-2}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[0-3{e}^{2}aLe{a}^{2}nso{v}^{2}r=108\times {10}^{-5}\]
Simplify  \(0-3{e}^{2}aLe{a}^{2}nso{v}^{2}r\)  to  \(-3{e}^{2}aLe{a}^{2}nso{v}^{2}r\).
\[-3{e}^{2}aLe{a}^{2}nso{v}^{2}r=108\times {10}^{-5}\]
Divide both sides by \(-3\).
\[{e}^{2}aLe{a}^{2}nso{v}^{2}r=-\frac{108\times {10}^{-5}}{3}\]
Divide both sides by \({e}^{2}\).
\[aLe{a}^{2}nso{v}^{2}r=-\frac{\frac{108\times {10}^{-5}}{3}}{{e}^{2}}\]
Simplify  \(\frac{\frac{108\times {10}^{-5}}{3}}{{e}^{2}}\)  to  \(\frac{108\times {10}^{-5}}{3{e}^{2}}\).
\[aLe{a}^{2}nso{v}^{2}r=-\frac{108\times {10}^{-5}}{3{e}^{2}}\]
Simplify  \(\frac{108\times {10}^{-5}}{3{e}^{2}}\)  to  \(\frac{36\times {10}^{-5}}{{e}^{2}}\).
\[aLe{a}^{2}nso{v}^{2}r=-\frac{36\times {10}^{-5}}{{e}^{2}}\]
Divide both sides by \(aLe\).
\[{a}^{2}nso{v}^{2}r=-\frac{\frac{36\times {10}^{-5}}{{e}^{2}}}{aLe}\]
Simplify  \(\frac{\frac{36\times {10}^{-5}}{{e}^{2}}}{aLe}\)  to  \(\frac{36\times {10}^{-5}}{{e}^{2}aLe}\).
\[{a}^{2}nso{v}^{2}r=-\frac{36\times {10}^{-5}}{{e}^{2}aLe}\]
Divide both sides by \({a}^{2}\).
\[nso{v}^{2}r=-\frac{\frac{36\times {10}^{-5}}{{e}^{2}aLe}}{{a}^{2}}\]
Simplify  \(\frac{\frac{36\times {10}^{-5}}{{e}^{2}aLe}}{{a}^{2}}\)  to  \(\frac{36\times {10}^{-5}}{{e}^{2}aLe{a}^{2}}\).
\[nso{v}^{2}r=-\frac{36\times {10}^{-5}}{{e}^{2}aLe{a}^{2}}\]
Divide both sides by \(s\).
\[no{v}^{2}r=-\frac{\frac{36\times {10}^{-5}}{{e}^{2}aLe{a}^{2}}}{s}\]
Simplify  \(\frac{\frac{36\times {10}^{-5}}{{e}^{2}aLe{a}^{2}}}{s}\)  to  \(\frac{36\times {10}^{-5}}{{e}^{2}aLe{a}^{2}s}\).
\[no{v}^{2}r=-\frac{36\times {10}^{-5}}{{e}^{2}aLe{a}^{2}s}\]
Divide both sides by \(o\).
\[n{v}^{2}r=-\frac{\frac{36\times {10}^{-5}}{{e}^{2}aLe{a}^{2}s}}{o}\]
Simplify  \(\frac{\frac{36\times {10}^{-5}}{{e}^{2}aLe{a}^{2}s}}{o}\)  to  \(\frac{36\times {10}^{-5}}{{e}^{2}aLe{a}^{2}so}\).
\[n{v}^{2}r=-\frac{36\times {10}^{-5}}{{e}^{2}aLe{a}^{2}so}\]
Divide both sides by \({v}^{2}\).
\[nr=-\frac{\frac{36\times {10}^{-5}}{{e}^{2}aLe{a}^{2}so}}{{v}^{2}}\]
Simplify  \(\frac{\frac{36\times {10}^{-5}}{{e}^{2}aLe{a}^{2}so}}{{v}^{2}}\)  to  \(\frac{36\times {10}^{-5}}{{e}^{2}aLe{a}^{2}so{v}^{2}}\).
\[nr=-\frac{36\times {10}^{-5}}{{e}^{2}aLe{a}^{2}so{v}^{2}}\]
Divide both sides by \(r\).
\[n=-\frac{\frac{36\times {10}^{-5}}{{e}^{2}aLe{a}^{2}so{v}^{2}}}{r}\]
Simplify  \(\frac{\frac{36\times {10}^{-5}}{{e}^{2}aLe{a}^{2}so{v}^{2}}}{r}\)  to  \(\frac{36\times {10}^{-5}}{{e}^{2}aLe{a}^{2}so{v}^{2}r}\).
\[n=-\frac{36\times {10}^{-5}}{{e}^{2}aLe{a}^{2}so{v}^{2}r}\]