[tex]a)( - 3 {)}^{2} = 9 \\ \frac{ {6}^{2} }{2} = \frac{36}{2} = 18 \\ ( - 3 {)}^{2} < \frac{ {6}^{2} }{2} \\ b) {3}^{4} - {2}^{4} = 81 - 16 = 65 \\ ( - 6 {)}^{0} + {4}^{3} = 1 + 64 = 65 \\ {3}^{4} - {2}^{4} = ( - 6 {)}^{0} + {4}^{3} [/tex]
[tex]c)( \frac{5}{2} {)}^{3} \times {0}^{9} = \frac{125}{8} \times 0 = 0 \\ ( - \frac{3}{2} {)}^{1} = ( - \frac{3}{2} ) \\ 0 > ( - \frac{3}{2} )[/tex]
[tex]d) - 4 \times ( \frac{1}{2} {)}^{2} = - 4 \times \frac{1}{4} = - 1 \\ - | - 0.3| {}^{0} = - 1 \\ - 4 \times ( \frac{1}{2} {)}^{2} = - | - 0.3 | {}^{0} [/tex]
