Final answer:
The equations 2x² + 3x³ = 5x⁵ are not equivalent because the bases and exponents on both sides are different and cannot be simplified to make them equivalent.
Step-by-step explanation:
To determine whether the equations 2x² + 3x³ = 5x⁵ are equivalent, one must understand the principles of exponents. According to the properties of exponents, when two exponents with the same base are multiplied, you can add the exponents. However, the equation provided doesn't fit this scenario, as the bases and exponents on both sides are different and cannot be simplified in a way that would make them equivalent. Therefore, the given equations are not equivalent.