Express each of the following numbers using exponential notation:(i) 512         (ii) 343               (iii) 729         (iv) 3125

Explanation

To express the given numbers in exponential notation, we will factor each number into its prime factors and then represent it using exponents.

### Step-by-Step Solution:

**(i) Expressing 512 in Exponential Notation:**

1. Start by dividing 512 by 2 (the smallest prime number).
- 512 ÷ 2 = 256
...