Express the prime factorization of the numbers in exponential form

i) 100

ii) 540

We will be using the concept of prime factors to solve this.

Answer: The prime factorization of the numbers 100 and 540 in the exponential form is 100 = 2² × 5² and 500 = 2² × 3³ × 5.

Let's solve this step by step.

Explanation:

Given, 100 and 540

100 = 2 × 2 × 5 × 5 

540 = 2 × 2 × 3 × 3 × 3 × 5 

We have to rewrite the factors in exponential form. 

100 =  2² × 5² 

540 = 2² × 3³ × 5

Thus, the prime factorization of the numbers 100 and 540 in the exponential form is 100 = 2² × 5² and 500 = 2² × 3³ × 5.