Simplify \(6-10\) to \(-4\).
\[{\sqrt{-4}}^{2}\]
Simplify \(\sqrt{-4}\) to \(\sqrt{4}\imath \).
\[{(\sqrt{4}\imath )}^{2}\]
Since \(2\times 2=4\), the square root of \(4\) is \(2\).
\[{(2\imath )}^{2}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[{2}^{2}{\imath }^{2}\]
Simplify \({2}^{2}\) to \(4\).
\[4{\imath }^{2}\]
Use Square Rule: \({i}^{2}=-1\).
\[4\times -1\]
Simplify.
\[-4\]
-4
