ADVANCED EXERCISES

(2) Rewrite each expression as a power of x.

 (a) 

 (b) 

 (a) xx1.3      x( + 1.3)
     ------  =  -------
      x(3/7)      x(3/7)  

     = x( + 1.3 - (3/7))  =  x + 1.3 - 3/7

 (b) x[x(xx1/2)1/2]1/2
     ------------ 
     {x4[x3(x2x1/2)1/2]1/2}1/2

     = x[x(x1/2x1/4)]1/2
      --------------
      {x4[x3(xx1/4)]1/2}1/2

     = x[xx3/4]1/2
      --------------
       [x4(x17/4)1/2]1/2

     = x(x7/4)1/2
       -----------
       (x4x17/8)1/2 

     = xx7/8         x15/8       
      -------  =  -------   =    x(15/8 - 49/16)  =  x-19/16
       (x49/8)1/2     x49/16