Evaluate the rational exponents, Mathematics

Evaluate each of the following.

 (a) 251/2

 (b) 321/5

Solution

 (a) 251/2

Thus, here is what we are asking in this problem.

                            251/2  = ?

By using the equivalence from the definition we can rewrite this as,

                           ? 2  =25

Thus, all that we are actually asking here is what number we squared to get 25.  In this case that is (hopefully) simple to get.  We square 5 to get 25. Thus,

                                                    251/2  = 5

 

 (b) 321/5

Thus what we are asking here is what number did we move up to the 5th power to get 32?

                               321/5  = 2               because            25  = 32

Posted Date: 4/6/2013 1:51:41 AM | Location : United States







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