[tex]-4^{\frac{1}{2}=-\sqrt{4}}=-2\\\\ \sqrt{4}^3=\sqrt{4}*\sqrt{4}*\sqrt{4}=4\sqrt{4}\\\\4^{-\frac{1}{2}}=(\frac{1}{4})^{\frac{1}{2}}=\sqrt{\frac{1}{4}}=\frac{1}{\sqrt{4}}= \frac{1}{2}\\\\-4^{-\frac{1}{2}}=-(\frac{1}{4})^{\frac{1}{2}}=-\sqrt{\frac{1}{4}}=-\frac{1}{\sqrt{4}}= -\frac{1}{2}[/tex]
