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Unformatted text preview: ve exponents and rational exponents. Be careful not to confuse the two as they are
totally separate topics.
In other words, b-n = 1
bn and NOT
1 b-n ¹ b n
This is a very common mistake when students first learn exponent rules. © 2007 Paul Dawkins 14 http://tutorial.math.lamar.edu/terms.aspx College Algebra Real Exponents
This is a fairly short section. It’s only real purpose is to acknowledge that the exponent properties
we listed in the first section work for any exponent. We’ve already used them on integer and
rational exponents but we aren’t actually restricted to these kinds of exponents. The properties
will work for any exponent that we want to use. Example 1 Simplify each of the following and write the answers with only positive exponents. ( (a) x8.2 y -0.26 z 2 æ x3 y -4.1 ö
(b) ç -2.7 ÷
ø ) 0.5 -3 Solution
We will not put as much detail into these as we have in the previous sections. By this point it is
assumed that you’re starting to get a good handle on the exponent rules.
(a) ( x8.2 y -0.26 z 2 ) 0.5 = x 4.1 y -0.13 z = x 4.1 z
y 0.13 (b)
-3 -3 -3 3 æ x3 y -4.1 ö
æ x3 x 2.7 ö
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- Spring '12