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Unformatted text preview: omes down to being careful with parenthesis. This will
be a constant refrain throughout these notes. We must always be careful with parenthesis.
Misusing them can lead to incorrect answers.
Let’s take a look at some more complicated examples now. Example 1 Simplify each of the following and write the answers with only positive exponents. (
(b) ( -10 z y ) ( z y )
3 (a) 4 x -4 y 5 -4 2 2 3 -5 [Solution] n -2 m
7 m-4 n -3
5 x -1 y -4
(d) (3 y ) 5 -2 [Solution] x9 æ z -5 ö
(e) ç -2 -1 ÷
èz x ø 6 æ 24a3b -8 ö
è 6a b ø [Solution]
-2 [Solution] Solution
Note that when we say “simplify” in the problem statement we mean that we will need to use all
the properties that we can to get the answer into the required form. Also, a “simplified” answer
will have as few terms as possible and each term should have no more than a single exponent on
There are many different paths that we can take to get to the final answer for each of these. In the
end the answer will be the same regardl...
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- Spring '12