Jasonbradley
Home

(-6x^5y^5)^4

less than a minute read Jun 16, 2024
(-6x^5y^5)^4

Simplifying (-6x^5y^5)^4

This article will explain how to simplify the expression (-6x^5y^5)^4.

Understanding Exponent Rules

Before we begin simplifying, let's review some key exponent rules:

  • Power of a product rule: (ab)^n = a^n * b^n
  • Power of a power rule: (a^m)^n = a^(m*n)

Simplifying the Expression

  1. Apply the power of a product rule: (-6x^5y^5)^4 = (-6)^4 * (x^5)^4 * (y^5)^4

  2. Apply the power of a power rule: (-6)^4 * (x^5)^4 * (y^5)^4 = 1296 * x^(54) * y^(54)

  3. Simplify: 1296 * x^(54) * y^(54) = 1296x^20y^20

Conclusion

Therefore, the simplified form of (-6x^5y^5)^4 is 1296x^20y^20.

This process demonstrates the importance of understanding and applying exponent rules to simplify complex expressions.

Featured Posts