-to-the-power-of-5-simplified.jpeg "(-3v) To The Power Of 5 Simplified")
Simplifying (-3v)^5
This problem involves simplifying an expression with a negative number, a variable, and an exponent. Here's how to break it down:
Understanding the Properties
- Exponent Rule: When raising a product to a power, we raise each factor to that power.
- Odd Exponent Rule: When raising a negative number to an odd power, the result is negative.
Step-by-Step Solution
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Apply the Exponent Rule: (-3v)^5 = (-3)^5 * v^5
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Calculate the Numerical Term: (-3)^5 = -243 (Remember, an odd exponent on a negative number results in a negative value)
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Combine the terms: -243 * v^5 = -243v^5
Final Answer
Therefore, the simplified expression for (-3v)^5 is -243v^5.