Example 2 Simplify the following a 40a 4 b 6 c ... - SS1 Mathematics Number Forms (Indices And Logarithm) Question
Example 2 Simplify the following: (a) \({40a}^{4}b^{6}c^{3}\ \div \ - {8a}^{4}b^{3}c^{2}\) (b) \(- 2x^{3}\ \times \ {3x}^{- 2}\)
Solution (a) \({40a}^{4}b^{6}c^{3}\ \div \ - {8a}^{4}b^{3}c^{2}\ = \left( \frac{40}{- 8} \right)a^{4 - 4}b^{6 - 3}c^{3 - 2} = - 5a^{0}b^{3}c^{1} = - 5(1)b^{3}c = \ - 5b^{3}c\)
(b) \(- 2x^{3}\ \times \ {3x}^{- 2} = ( - 2 \times 3)x^{3 + - 2} = ( - 6)x^{3 - 2} = \ - 6x\)
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