[tex]12^\frac{3}{2} \times 3^\frac{3}{2} + 4^{-\frac{1}{2}}-0.027^\frac{2}{3} = (12 \times 3)^\frac{3}{2} + \left(2^2\right)^{-\frac{1}{2}} - \left( \frac{27}{1000} \right)^\frac{2}{3} = 36^\frac{3}{2} + 2^{2 \times (-\frac{1}{2})} - \frac{27^\frac{2}{3}}{1000^\frac{2}{3}} = 216 + 2^{-1} - \frac{9}{100} = 216 + 0.5 - 0.09 = 216.41[/tex]
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[tex]12^\frac{3}{2} \times 3^\frac{3}{2} + 4^{-\frac{1}{2}}-0.027^\frac{2}{3} = (12 \times 3)^\frac{3}{2} + \left(2^2\right)^{-\frac{1}{2}} - \left( \frac{27}{1000} \right)^\frac{2}{3} = 36^\frac{3}{2} + 2^{2 \times (-\frac{1}{2})} - \frac{27^\frac{2}{3}}{1000^\frac{2}{3}} = 216 + 2^{-1} - \frac{9}{100} = 216 + 0.5 - 0.09 = 216.41[/tex]