Question

$$\frac{(-2)^{2}}{4}\frac{(4,3)^{2}}{a}=1$$

Answer

$$a=(4,3)^2$$

Solution


Since the power of 2 is even, the result will be positive.
\[\frac{{2}^{2}}{4}\times \frac{{(4,3)}^{2}}{a}=1\]
Simplify  \({2}^{2}\)  to  \(4\).
\[\frac{4}{4}\times \frac{{(4,3)}^{2}}{a}=1\]
Cancel \(4\).
\[1\times \frac{{(4,3)}^{2}}{a}=1\]
Simplify  \(1\times \frac{{(4,3)}^{2}}{a}\)  to  \(\frac{{(4,3)}^{2}}{a}\).
\[\frac{{(4,3)}^{2}}{a}=1\]
Multiply both sides by \(a\).
\[{(4,3)}^{2}=a\]
Switch sides.
\[a={(4,3)}^{2}\]