Choose the Correct Simplification of the Expression 5xy² · 5y³

To simplify the expression 5xy² · 5y³, we start by applying the rules of multiplication for like bases.

First, multiply the coefficients:

• 5 (from the first term) and 5 (from the second term): 5 × 5 = 25

Next, combine the variables:

• For y, we have y² and y³. Using the rule of exponents (which states that when you multiply like bases, you add the exponents), we have:
• y² × y³ = y²⁺³ = y⁵

Now, we can combine both parts together:

• This gives us 25xy⁵ as our final simplified expression.

Thus, the correct simplification of the expression 5xy² · 5y³ is 25xy⁵.