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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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 Winter '14
 DonaldRobertson
 Calculus, Multiplication, Power Rule

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