Express each of the following numbers in exponential form:(i) 512(ii)

1.	Express each of the following numbers in exponential form:(i) 512(ii) 625(iii) 729
Answer» (i) Given 512 Prime factorization of 512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 2⁹ (ii) Given 625 Prime factorization of 625 = 5 x 5 x 5 x 5 = 5⁴ (iii) Given 729 Prime factorization of 729 = 3 x 3 x 3 x 3 x 3 x 3 = 3⁶

Express each of the following numbers in exponential form:(i) 512(ii) 625(iii) 729

Answer»

(i) Given 512

Prime factorization of 512

= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

= 2⁹

(ii) Given 625

Prime factorization of 625

= 5 x 5 x 5 x 5

= 5⁴

(iii) Given 729

Prime factorization of 729

= 3 x 3 x 3 x 3 x 3 x 3

= 3⁶