1000 in exponential form can be expressed as 103.
To understand how we arrive at this, let’s break it down. The number 1000 can be re-written as the product of its prime factors. The prime factorization of 1000 is:
1000 = 10 × 10 × 10
This means that 1000 is equal to 10 multiplied by itself three times. When we express this in exponential form, we use a base (in this case, 10) and an exponent that represents how many times the base is multiplied by itself. Therefore, we write it as 103.
In summary, the exponential form of 1000 is 103, indicating that 10 is the base and it is raised to the power of 3.