## (5ab2)²: Expanding the Expression

The expression (5ab²)² represents the square of a product of variables and constants. To expand this, we apply the rule of exponents: **(a * b)² = a² * b²**

**Here's how to break it down:**

**Identify the base:**The base is the entire expression within the parentheses: 5ab²**Apply the exponent:**The exponent is 2, meaning we multiply the base by itself twice.**Expand the expression:**- (5ab²)² = (5ab²) * (5ab²)
- This can be further broken down as 5 * a * b² * 5 * a * b²
- Finally, we can rearrange and group like terms: (5 * 5) * (a * a) * (b² * b²)

**Simplifying the Expression:**

**5 * 5 = 25****a * a = a²****b² * b² = b⁴**

Therefore, the expanded form of (5ab²)² is: **25a²b⁴**

**Key Points:**

**Squaring a product:**Remember that when squaring a product, each factor within the product is squared.**Simplifying exponents:**Make sure to combine like terms and simplify the expression by applying the rules of exponents.