Pattern Recognition - 42

Find the next two numbers in the series.

64 , 4 , 2 , 729 , 9 ,3 , 4096, 16 , 4 , 15625 , _ , _ ,..................



Answer


64 , 4 , 2 , 729 , 9 ,3 , 4096, 16 , 4 , 15625 , _ , _ ,..................

64 , 4 , 2     4= (2*2)   64=(4 * 4 *4)

729 , 9 ,3     9=(3*3)   729 =(9 * 9 * 9)

4096, 16 ,4 16=(4*4)   4096=(16 * 16 * 16)

63125         (15625 )^(1/3)= 25 Or 25 ^ 3=15625       
25=(5 * 5)

64 , 4 , 2 , 729 , 9 ,3 , 4096, 16 , 4 , 15625 ,  25 , 5 ,..................