## Simplifying (7y^3)^2

In mathematics, simplifying expressions is a key skill. One common type of simplification involves exponents. Let's explore how to simplify the expression **(7y^3)^2**.

### Understanding the Rules

The core principle here is the **power of a product rule:** **(ab)^n = a^n * b^n**. This rule tells us that when we raise a product to a power, we raise each factor in the product to that power.

### Applying the Rule

**Identify the factors:**In our expression (7y^3)^2, we have two factors: 7 and y^3.**Apply the power to each factor:**(7y^3)^2 = 7^2 * (y^3)^2**Simplify further:**7^2 = 49 and (y^3)^2 = y^(3*2) = y^6

### The Final Result

Therefore, the simplified expression is **49y^6**.

**Key Takeaway:** Remember to apply the power of a product rule carefully when simplifying expressions involving exponents and products.