## Simplifying (5x²y³)²

This article will guide you through simplifying the expression **(5x²y³)²**.

### Understanding Exponents

An exponent indicates how many times a base number is multiplied by itself. In this case, the base is **(5x²y³) ** and the exponent is **2**.

### Applying the Power of a Product Rule

The power of a product rule states that **(ab)**ⁿ = **aⁿbⁿ**. We can apply this rule to our expression:

**(5x²y³)² = 5² (x²)² (y³)²**

### Simplifying the Expression

Let's simplify each term:

**5² = 25****(x²)² = x⁴**(Applying the power of a power rule: (aⁿ)ᵐ = aⁿᵐ)**(y³)² = y⁶**(Applying the power of a power rule)

Now, combining the simplified terms:

**25x⁴y⁶**

### Conclusion

Therefore, the simplified form of **(5x²y³)²** is **25x⁴y⁶**.