Topic 9 Exponentials

F separate the terms using the division rule using

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Unformatted text preview: the terms = (d) Using the power rule = Solution (b): = Separate the terms = Using the power rule and the property = = Using the property that = Solution (c): = Separate the terms = Using the power rule = = Using the property that = Solution (d): = = Separate the terms Using the power rule and the property = = Page | 11 Olympic College Topic 9 Exponentials Example 4: Simplify the following expression . (The answers are to have only positive exponents). Solution: = Separate the terms = Using the multiplication rule = = = Separate the terms = Using the power rule = = Using the property that = Exercise 2: Simplify the following expressions. (The answers are to have only positive exponents). 1.(a) (b) (c) 1.(d) (e) (f) 2. (a) (b) (c) 2.(d) (e) (f) 3. (a) (b) (c) 3.(d) (e) (f) 4.(a) (b) (c) Page | 12 Olympic College Topic 9 Exponentials 3. Calculations involving Exponentials with the different bases. The method used to solve these problems is very similar to the previous situation, what you do is first separate the multiples and the different exponentials and then independently perform the calculations you then recombine the individual results at the end. Example 1: Simplify the following expressions. (The answers are to have only positive exponents). (a) (c) (d) (e) Solution (a): (b) (f) = Separate the terms = Using the multiplication rule = Solution (b): = = Separate the terms Using the multiplication rule = = = Using the property that = Solution (c): = = Separate the terms Using the multiplication rule = = Using the property that 1 = Page | 13 Olympic College Topic 9 Exponentials Solution (d): = Separate the terms = Using the multiplication rule = = Using the property that = Solution (e): = = Separate the terms Using the multiplication rule = = = Using the property that = Solution (f): = = Separate the terms Using the multiplication rule = = Page | 14 Olympic College Topic 9 Exponentials Example 2: Simplify the following expressions. (The answers are to have only positive exponents). (a) (c) (d) Solution (a): (b) (e) (f) = Separate the terms = Using the multiplication rule = = Using the property that = Solution (b): = Separate the terms = Using the multiplication rule = = Using the property that = Using the property that = Solution (c): = Separate the terms = Using the multiplication r...
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