(-3v) To The Power Of 5 Simplified

less than a minute read Jun 16, 2024
(-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

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

  2. Calculate the Numerical Term: (-3)^5 = -243 (Remember, an odd exponent on a negative number results in a negative value)

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

Final Answer

Therefore, the simplified expression for (-3v)^5 is -243v^5.

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