## Dividing Large and Small Numbers: A Look at (6 x 10⁸) ÷ (1.5 x 10⁻⁴)

This article explores the division of two numbers expressed in scientific notation: (6 x 10⁸) ÷ (1.5 x 10⁻⁴). We'll break down the process and arrive at the solution.

### Understanding Scientific Notation

Scientific notation is a convenient way to express extremely large or small numbers. It follows the form: **a x 10<sup>b</sup>**, where 'a' is a number between 1 and 10, and 'b' is an integer representing the power of 10.

### Dividing in Scientific Notation

When dividing numbers in scientific notation, we divide the coefficients (the 'a' values) and subtract the exponents (the 'b' values). Let's apply this to our problem:

(6 x 10⁸) ÷ (1.5 x 10⁻⁴) = (6 ÷ 1.5) x 10<sup>(8 - (-4))</sup>

### Solving the Equation

**Divide the coefficients:**6 ÷ 1.5 = 4**Subtract the exponents:**8 - (-4) = 12

### The Solution

Combining the results, we get:

(6 x 10⁸) ÷ (1.5 x 10⁻⁴) = **4 x 10¹²**

Therefore, dividing (6 x 10⁸) by (1.5 x 10⁻⁴) gives us **4 x 10¹²**.