[tex]=\frac{2^{5} }{2^{3} } +3^{-1} -\sqrt{2} *\sqrt{2} +(\frac{1}{2} )^{-2} \\=\frac{32}{8} + \frac{1}{3} - (\sqrt{2} )^{2} +2^{2} \\= 4 +\frac{1}{3} -2 +4\\=6 + \frac{1}{3} \\= \frac{18+1}{3} \\=\frac{19}{3}[/tex]
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[tex]=\frac{2^{5} }{2^{3} } +3^{-1} -\sqrt{2} *\sqrt{2} +(\frac{1}{2} )^{-2} \\=\frac{32}{8} + \frac{1}{3} - (\sqrt{2} )^{2} +2^{2} \\= 4 +\frac{1}{3} -2 +4\\=6 + \frac{1}{3} \\= \frac{18+1}{3} \\=\frac{19}{3}[/tex]