## Simplifying the Expression (5ab) x (-2a^2b)^3

This article will guide you through the simplification of the expression **(5ab) x (-2a^2b)^3**. We'll break down the steps using the rules of exponents and multiplication.

### Understanding the Exponent

The expression **(-2a^2b)^3** means we multiply **(-2a^2b)** by itself three times.

### Applying the Exponent Rule

We can distribute the exponent to each factor within the parentheses:

(-2a^2b)^3 = **(-2)^3 * (a^2)^3 * (b)^3**

Remember that when raising a power to another power, we multiply the exponents:

(-2)^3 * (a^2)^3 * (b)^3 = **-8 * a^6 * b^3**

### Multiplication

Now we can multiply the results from the previous step with the first term **(5ab)**:

(5ab) * (-8a^6b^3) = **-40a^7b^4**

### Final Answer

Therefore, the simplified form of the expression (5ab) x (-2a^2b)^3 is **-40a^7b^4**.