Question

prove that:
[{(81)¼+(256)¼}¼]⁴=16807

Answer 1

Answer:

Step-by-step explanation:

(81)^1/4  

81 = 3^4

so, (81) ^1/4   = (3^4) ^1/4

                     =  3 ^ 4/4

                     = 3            _______________(A)

(256) ^1/4

  256  = 4 ^ 4

so, 256^ 1/4   = (4^4)^1/4  =  4  ______________(B)

L.H.S   =  (3 + 4) ^5 = 7^ 5  =  16807