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EQUAL OR OPPOSITES?

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The concepts for this exercise are summarized below. For a complete discussion, read the text.

When you raise a number and its opposite to the same even power,
then you get the same result. That is:

     For all real numbers  x ,  (-x)EVEN  =  xEVEN.

When you raise a number and its opposite to the same odd power,
then you get opposites as the result. That is:

     For all real numbers  x ,  (-x)ODD  =  -xODD.

EXAMPLES:
Determine if the expressions are EQUAL or OPPOSITES.
(-x)2  and  x2   are equal.
(-x)3  and  x3   are opposites.
(-x)4  and  -x4   are opposites.
(-x)5  and  -x5   are equal.
 
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EQUAL
OPPOSITES




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