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[latex]a) (1frac{1}{2})^{-4}:(1frac{1}{2})^{-6} = (1frac{1}{2})^{-4-(-6)}=(1frac{1}{2})^{-4+6}=(1frac{1}{2})^{2}=(frac{3}{2})^{2}=frac{3^{2}}{2^{2}}=frac{9}{4}=2frac{1}{4}\ c) frac{(-5)^{7}*(-5)^4}{(-5)^{2}*(-5)^5}=frac{(-5)^{7+4}}{(-5)^{2+5}}=frac{(-5)^{11}}{(-5){^7}}=(-5)^{11-7}=(-5)^{-4}=(-5)*(-5)*(-5)*(-5)=625[/latex]