Question

$$\left. \begin{array} { l l } { } & { } & { ( 6 ^ { - 1 } - 8 ^ { - 1 } ) = } \end{array} \right.$$

Answer

$$p=-24/(Mu*eCh*e^2*IM*l^2*t^2*o*c*q*u*s)$$

Solution


Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[Mult\imath pleCho\imath cequest\imath (\frac{1}{6}-{8}^{-1})=1.\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[Mult\imath pleCho\imath cequest\imath (\frac{1}{6}-\frac{1}{8})=1.\]
Simplify  \(\frac{1}{6}-\frac{1}{8}\)  to  \(\frac{1}{24}\).
\[Mult\imath pleCho\imath cequest\imath \times \frac{1}{24}=1.\]
Simplify  \(Mult\imath pleCho\imath cequest\imath \times \frac{1}{24}\)  to  \(\frac{Mult\imath pleCho\imath cequest\imath }{24}\).
\[\frac{Mult\imath pleCho\imath cequest\imath }{24}=1.\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{Mu{l}^{2}{t}^{2}{\imath }^{3}peChoc{e}^{2}qus}{24}=1.\]
Isolate \({\imath }^{2}\).
\[\frac{Mu{l}^{2}{t}^{2}{\imath }^{2}\imath peChoc{e}^{2}qus}{24}=1.\]
Use Square Rule: \({i}^{2}=-1\).
\[\frac{Mu{l}^{2}{t}^{2}\times -1\times \imath peChoc{e}^{2}qus}{24}=1.\]
Simplify  \(Mu{l}^{2}{t}^{2}\times -1\times \imath peChoc{e}^{2}qus\)  to  \(Mu{l}^{2}{t}^{2}\times -\imath peChoc{e}^{2}qus\).
\[\frac{Mu{l}^{2}{t}^{2}\times -\imath peChoc{e}^{2}qus}{24}=1.\]
Regroup terms.
\[\frac{-MueCh{e}^{2}\imath {l}^{2}{t}^{2}pocqus}{24}=1.\]
Move the negative sign to the left.
\[-\frac{MueCh{e}^{2}\imath {l}^{2}{t}^{2}pocqus}{24}=1.\]
Multiply both sides by \(24\).
\[-MueCh{e}^{2}\imath {l}^{2}{t}^{2}pocqus=1.\times 24\]
Simplify  \(1.\times 24\)  to  \(24\).
\[-MueCh{e}^{2}\imath {l}^{2}{t}^{2}pocqus=24\]
Divide both sides by \(-Mu\).
\[eCh{e}^{2}\imath {l}^{2}{t}^{2}pocqus=-\frac{24}{Mu}\]
Divide both sides by \(eCh\).
\[{e}^{2}\imath {l}^{2}{t}^{2}pocqus=-\frac{\frac{24}{Mu}}{eCh}\]
Simplify  \(\frac{\frac{24}{Mu}}{eCh}\)  to  \(\frac{24}{MueCh}\).
\[{e}^{2}\imath {l}^{2}{t}^{2}pocqus=-\frac{24}{MueCh}\]
Divide both sides by \({e}^{2}\).
\[\imath {l}^{2}{t}^{2}pocqus=-\frac{\frac{24}{MueCh}}{{e}^{2}}\]
Simplify  \(\frac{\frac{24}{MueCh}}{{e}^{2}}\)  to  \(\frac{24}{MueCh{e}^{2}}\).
\[\imath {l}^{2}{t}^{2}pocqus=-\frac{24}{MueCh{e}^{2}}\]
Divide both sides by \(\imath \).
\[{l}^{2}{t}^{2}pocqus=-\frac{\frac{24}{MueCh{e}^{2}}}{\imath }\]
Simplify  \(\frac{\frac{24}{MueCh{e}^{2}}}{\imath }\)  to  \(\frac{24}{MueCh{e}^{2}\imath }\).
\[{l}^{2}{t}^{2}pocqus=-\frac{24}{MueCh{e}^{2}\imath }\]
Divide both sides by \({l}^{2}\).
\[{t}^{2}pocqus=-\frac{\frac{24}{MueCh{e}^{2}\imath }}{{l}^{2}}\]
Simplify  \(\frac{\frac{24}{MueCh{e}^{2}\imath }}{{l}^{2}}\)  to  \(\frac{24}{MueCh{e}^{2}\imath {l}^{2}}\).
\[{t}^{2}pocqus=-\frac{24}{MueCh{e}^{2}\imath {l}^{2}}\]
Divide both sides by \({t}^{2}\).
\[pocqus=-\frac{\frac{24}{MueCh{e}^{2}\imath {l}^{2}}}{{t}^{2}}\]
Simplify  \(\frac{\frac{24}{MueCh{e}^{2}\imath {l}^{2}}}{{t}^{2}}\)  to  \(\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}}\).
\[pocqus=-\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}}\]
Divide both sides by \(o\).
\[pcqus=-\frac{\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}}}{o}\]
Simplify  \(\frac{\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}}}{o}\)  to  \(\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}o}\).
\[pcqus=-\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}o}\]
Divide both sides by \(c\).
\[pqus=-\frac{\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}o}}{c}\]
Simplify  \(\frac{\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}o}}{c}\)  to  \(\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}oc}\).
\[pqus=-\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}oc}\]
Divide both sides by \(q\).
\[pus=-\frac{\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}oc}}{q}\]
Simplify  \(\frac{\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}oc}}{q}\)  to  \(\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}ocq}\).
\[pus=-\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}ocq}\]
Divide both sides by \(u\).
\[ps=-\frac{\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}ocq}}{u}\]
Simplify  \(\frac{\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}ocq}}{u}\)  to  \(\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}ocqu}\).
\[ps=-\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}ocqu}\]
Divide both sides by \(s\).
\[p=-\frac{\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}ocqu}}{s}\]
Simplify  \(\frac{\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}ocqu}}{s}\)  to  \(\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}ocqus}\).
\[p=-\frac{24}{MueCh{e}^{2}\imath {l}^{2}{t}^{2}ocqus}\]