Simplify: $(0.5 a^{45}) (1.5 b^{21} c^{32}) (- 0.01 a^{12} b^{60} c^{42})$ .

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Solution

$(0.5 a^{45}) (1.5 b^{21} c^{32}) (- 0.01 a^{12} b^{60} c^{42}) (0.5 \times 1.5 \times - 0.01) a^{45 + 12} b^{21 + 60} c^{32 + 42} = - 0.0075 a^{57} b^{81} c^{74}$

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