Express each of the following numbers as a product of powers of their

1.	Express each of the following numbers as a product of powers of their prime factors:(i) 36(ii) 675(iii) 392
Answer» (i) Given 36 Prime factorization of 36 = 2 x 2 x 3 x 3 = 2² x 3² (ii) Given 675 Prime factorization of 675 = 3 x 3 x 3 x 5 x 5 = 3³ x 5² (iii) Given 392 Prime factorization of 392 = 2 x 2 x 2 x 7 x 7 = 2³ x 7²

Express each of the following numbers as a product of powers of their prime factors:(i) 36(ii) 675(iii) 392

Answer»

(i) Given 36

Prime factorization of 36 = 2 x 2 x 3 x 3

= 2² x 3²

(ii) Given 675

Prime factorization of 675 = 3 x 3 x 3 x 5 x 5

= 3³ x 5²

(iii) Given 392

Prime factorization of 392 = 2 x 2 x 2 x 7 x 7

= 2³ x 7²