# Express the prime factorization of the numbers in exponential form

# i) 100

# ii) 540

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

## Answer: The prime factorization of the numbers100 and 540 in the exponential form are 100 = 2^{2} x 5^{2} and 500 = 2^{2} × 3^{3} × 5.

Let's solve this step by step.

**Explanation:**

Given, 100 and 540

100 = 2 x 2 x 5 x 5

540 = 2 × 2 × 3 × 3 × 3 × 5

We have to rewrite the factors in exponential form.

100 = 2^{2} x 5^{2}

540 = 2^{2} × 3^{3} × 5