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8. 65p  = y

36 10p  = (6210p  = 620p  = (65p )4  = y4 

 

9.  (x2n+1 ) (-1)2n+1 (x2n-1 )

     = (-1)2n+1  ( x2n+1+2n-1 )

     = (-1)2n+1 (x4n )  = – (x4n

since n is a positive integer, 2n+1 is an odd number, hence  (-1)2n+1  = -1 .

10. ( 5n+2  – 5n ) / [5n+2  – 25(5n+1 ) ] =  5n ( 52  –  1 )  / [5n 52   –  52 (5n+1 ) ]

                                                                  =  5n ( 25 –  1 ) /  [5n  ( 52   –  52 +1

                                                                  = 24 / (25-125)

                                                                   = –  (24 /100 )

                                                                    = – (6/25)

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