Final answer:
The student's question contains a typo which makes it unclear, but it appears to relate to solving for b in a quadratic equation. We cannot solve for b without the specific equation. Examples of quadratic equations with their respective values for a, b, and c are provided.
Step-by-step explanation:
The student is asking for the value of b in the expression (y^b)^4 = 1v^24 - 20620. However, there seems to be a typo or irrelevant part in the question as 1v^24 does not make conventional mathematical sense. To answer meaningfully, let's consider that this question is about solving a quadratic equation instead, where we already have the values of a, b, and c specified in different examples. A common form for a quadratic equation is at² + bt + c = 0.
When solving such an equation, we apply the quadratic formula: -b ± √(b² - 4ac) / (2a). Each example provides different constants for a, b, and c, we can't solve for b without knowing the specific values of y or v mentioned in the student's original equation. If the student's question was simply to find the value of b when given a, b, and c in a quadratic equation, then the value would be as provided in the examples where b is mentioned outright.