(-3v) To The Power Of 5

Jasonbradley

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Jun 16, 2024

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Simplifying (-3v)^5

This expression involves both a numerical coefficient and a variable raised to a power. Here's how to simplify it:

Understanding the Properties

• Exponent Rule: When raising a product to a power, we apply the power to each factor within the product. In other words, (ab)^n = a^n * b^n.
• Negative Number Exponents: When a negative number is raised to an odd power, the result is negative.

Step-by-Step Simplification

1. Apply the Exponent Rule: (-3v)^5 = (-3)^5 * v^5

2. Calculate the Numerical Power: (-3)^5 = -243

3. Combine the Results: -243 * v^5 = -243v^5

Therefore, (-3v)^5 simplified is -243v^5