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How can I solve the expression x^(p/q)...for example....5^(3/2),7^(1/3)...8^(4/5)....

How can I solve the expression x^(p/q)...for example....5^(3/2),7^(1/3)...8^(4/5)....

Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Dear sundeep

x^(p/q) has q solution if you take complex value as well

here i will consider only real value

you can write x^(p/q)  as (xp)1/q

                                             or( x1/q)p

                             for example   (125)2/3

                                                    =(1251/3)2

                                                    =52

                                                    =25

           or you can solve it by using log

         take y=x^(p/q)

               logy=p/q log x

                       = p/q * some value

                       = some value

        take anti log

                   y= some value

 


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Badiuddin


                                                              

                                       

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