Вычислите: a) $$6 \cdot 12^{-1}$$ б) $$-4 \cdot 8^{-2}$$ в) $$6^{-1} - 3^{-2}$$ г) $$1,3^0 - 1,3^{-1}$$ д) $$12 - (\frac{1}{6})^{-1}$$ e) $$25 + 0,1^{-2}$$

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а) $$6 \cdot 12^{-1} = 6 \cdot \frac{1}{12} = \frac{6}{12} = \frac{1}{2} = 0.5$$
б) $$-4 \cdot 8^{-2} = -4 \cdot \frac{1}{8^2} = -4 \cdot \frac{1}{64} = -\frac{4}{64} = -\frac{1}{16} = -0.0625$$
в) $$6^{-1} - 3^{-2} = \frac{1}{6} - \frac{1}{3^2} = \frac{1}{6} - \frac{1}{9} = \frac{3}{18} - \frac{2}{18} = \frac{1}{18}$$
г) $$1,3^0 - 1,3^{-1} = 1 - \frac{1}{1,3} = 1 - \frac{1}{\frac{13}{10}} = 1 - \frac{10}{13} = \frac{13}{13} - \frac{10}{13} = \frac{3}{13}$$
д) $$12 - (\frac{1}{6})^{-1} = 12 - 6 = 6$$
е) $$25 + 0,1^{-2} = 25 + (\frac{1}{10})^{-2} = 25 + 10^2 = 25 + 100 = 125$$