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16 4 =  ç16 4 ÷ =  ( 2 ) = 2
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ø [Return to Problems] As the last two parts of the previous example has once again shown, we really need to be careful
with parenthesis. In this case parenthesis makes the difference between being able to get an
answer or not.
Also, don’t be worried if you didn’t know some of these powers off the top of your head. They
are usually fairly simple to determine if you don’t know them right away. For instance in the part
b we needed to determine what number raised to the 5 will give 32. If you can’t see the power
right off the top of your head simply start taking powers until you find the correct one. In other
words compute 25 , 35 , 45 until you reach the correct value. Of course in this case we wouldn’t
need to go past the first computation.
The next thing that we should acknowledge is that all of the properties for exponents that we gave
in the previous section are still valid for all rational exponents. This includes the more general
rational exponent that we have...
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 Spring '12
 MrVinh

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