Question

Express each of the following numbers in exponential form:

(i) 512

(ii) 625

(iii) 729

Answer 1

(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