a)
[tex](-3)^{2} = 9\\\\\frac{6^{2}}{2} = \frac{36}{2} = 18\\\\\underline{(-3)^{2} < \frac{6^{2}}{2}}[/tex]
b)
[tex]3^{4}-2^{4} = 81-16 = 65\\\\(-6)^{0}+4^{3} = 1 + 64 = 65\\\\\underline{3^{4}-2^{4} = (-6)^{0}+4^{3}}[/tex]
c)
[tex](\frac{5}{2})^{3} \cdot0^{9} = (\frac{5}{2})^{3}\cdot 0 = 0\\\\(-\frac{3}{2})^{-1}=-\frac{2}{3}\\\\\underline{(\frac {5}{2})^{3} \cdot0^{9} > (-\frac{3}{2})^{-1}}[/tex]
d)
[tex]-4\cdot(\frac{1}{2})^{2} = -4\cdot\frac{1}{4} =-1\\\\-|-0,3|^{0} = -0,3^{0} = -1\\\\\underline{-4\cdot(\frac{1}{2})^{2} = -|-0,3)|^{0}}[/tex]
