%5E5-simplified.jpeg "(-3v)^5 Simplified")
Simplifying (-3v)^5
In mathematics, simplifying expressions often involves applying the rules of exponents. Let's break down how to simplify (-3v)^5.
Understanding the Rules
- Exponent Rule: When a product is raised to a power, each factor within the product is raised to that power.
- Negative Base: A negative base raised to an odd power results in a negative value.
The Simplification Process
- Apply the exponent rule: (-3v)^5 = (-3)^5 * (v)^5
- Simplify the powers: (-3)^5 = -243 and (v)^5 = v^5
- Combine the results: -243 * v^5 = -243v^5
Final Answer
Therefore, the simplified form of (-3v)^5 is -243v^5.