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Page  5 Olympic College Topic 9 Exponentials
Exercise 1 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) 5.(a) (b) (c) 6.(a) (b) (c) Page  6 Olympic College Topic 9 Exponentials 2. Calculations involving multiples of Exponentials with the same base.
There are a number of calculations that involve exponentials one such calculation involves
multiples of exponentials with the same base. The method used to solve these problems is to
separate the multiples and the exponentials and to independently perform the calculations
and to then recombine the results.
Example 1: Simplify the following expressions.
(The answers are to have only positive exponents).
(a) (c) (d)
Solution (a): (b)
(e) (f) = Separate the terms =
=
Solution (b): 28
28 = Separate the terms = 63 =
Solution (c): Using the multiplication rule 63 = Using the multiplication rule Separate the terms = 90 = 90 = 90 Using the multiplication rule Using the property that Page  7 Olympic College Topic 9 Exponentials
Solution (d): = Separate the terms = 33 = 33 = 33 = Using the multiplication rule Using the property that = Solution (e): = Separate the terms = 72 = 72 = Using the multiplication rule Using the property that = Solution (f): = Separate the terms = 28 = 28 = 28 = Using the multiplication rule Using the property that = Page  8 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 division rule = Solution (b): = Separate the terms = Using the division rule =
= Using the property that = Solution (c): = Separate the terms = Using the division rule =
= Using the property that = Page  9 Olympic College Topic 9 Exponentials Solution (d): = Separate the terms = Using the division rule =
= Solution (e): = Separate the terms = Using the division rule =
=
= Solution (f): = Separate the terms = Using the division rule =
=
= Using the property that 1 = Page  10 Olympic College Topic 9 Exponentials
Example 3: Simplify the following expressions.
(The answers are to have only positive exponents).
(a)
Solution (a): (b) (c) = Separate...
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This note was uploaded on 02/11/2014 for the course MATH 142 taught by Professor Donaldrobertson during the Winter '14 term at Olympic College.
 Winter '14
 DonaldRobertson
 Calculus, Multiplication, Power Rule

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