Question

Which of the following number is he fourth power of a natural number?
A) 6765201
B) 6765206
C) 6765207
D) 6765209

pls answer with solution I have an exam tomorrow :(

Answer 1

(a) Prime factorization of 6765201

  = 3^4 * 17^4

  = (3 * 17)^4

  = (51)^4.



(b). Prime factorization of 6765206

     = 2^1 * 7^1 * 483229^1.


(c) Prime factorization of 6765207

     = 3^1 * 29^1 * 77761^1


(d)Prime factorization of 6765209

      = 11^1 * 615019^1.



Therefore the fourth power of natural number = 6476201 i.e 51


Hope this helps!