Precalc0001to0005-page28

Precalc0001to0005-page28 - when we cancel(see Section 0.9...

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(Section 0.5: Exponents and Radicals: Laws and Forms) 0.5.6 PART E: SIMPLIFYING EXPRESSIONS Example 2 (Simplifying an Expression) Simplify 3 ± 2 x 2 ² ³ ´ µ · ± 4 , where x ± 0 . You may not have nonpositive exponents in your final expression. § Solution 3 ± 2 x 2 ² ³ ´ µ · ± 4 = ± 2 x 2 3 ² ³ ´ µ · 4 x ¸ 0 () by Law 8 WARNING 9 : Whenever a step “hides” a restriction , which can happen when we apply laws of exponents and radicals and
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Unformatted text preview: when we cancel (see Section 0.9), we should write down the restriction. However, it is typically acceptable to wait until the final expression. The given expression should be examined for restrictions. ( See Warning 6.) = ± 2 x 2 ( ) 4 3 4 x ² ( ) by Law 5 = ± 2 ( ) 4 x 2 ( ) 4 81 x ² ( ) by Law 4 = 16 x 8 81 x ² ( ) by Law 3 §...
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This document was uploaded on 12/29/2011.

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