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= Using the property that
Page  15 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  16 Olympic College Topic 9 Exponentials
Example 3: Simplify the following expressions.
(The answers are to have only positive exponents).
(a)
Solution (a): (b) (c) (d) = Separate the terms = Using the power rule =
Solution (b): = Separate the terms = Using the power rule =
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 =
= Using the property that = Page  17 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 =
= Using the property that Example 5: Simplify the following expression.
(The answers are to have only positive exponents).
Solution: = Using the power Rule =
=
= Separate the terms =
=
= Separate the terms = Using the multiplication rule =
= Using the property that Page  18 Olympic College Topic 9 Exponentials
Exercise 3: Simplify the following expressions
(The answers are to have only positive exponents.)
1. (a) (b) (c) (d) (e) (f) 2. (d) (e) (f) (a) (b) (c) (d) (e) (f) (g) 4 (b) (c) 3. (a) (h) (a) (b) (c) (d) (e) (f) (g) (h) Page  19 Olympic College Topic 9 Exponentials
Solutions:
Exercise 1 1.(a) (b) (c) 2. (a) (b) 3. (a) (d)
(c) (b) (e) (d) (f) (e)
(d) y12 (c) 4.(a) y18 (b)
(b)
(b) b8 (f) (c) 6.(a) (e) x8 (c) x18 5.(a) (f) (c) Exercise 2: 1.(a) (b) (c) (d) (e) 14x (f) 2. (a) (b) (c) (d) (e) (f) 3.(a) (b) (c) (d) (e) (f) 4.(a) (b) (c) Exercise 3: 1.(a) (b) (c) (d) (e) (f) 2.(a) (b) (c) (d) (e) (f) 3.(a) (b) (c) (d) 3.(e) (f) (g) (h) 1 4.(a) (b) (c) (d) 4.(e) (f) (g) (h) Page  20...
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 Winter '14
 DonaldRobertson
 Calculus, Multiplication, Power Rule

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