Jasonbradley
Home

(-5x^2y^-1)^4

less than a minute read Jun 16, 2024
(-5x^2y^-1)^4

Simplifying (-5x^2y^-1)^4

In this article, we will simplify the expression (-5x^2y^-1)^4.

Understanding the Properties

To simplify this expression, we need to understand the following properties of exponents:

  • Product of powers: (a^m)^n = a^(m*n)
  • Power of a product: (ab)^n = a^n * b^n
  • Negative exponent: a^-n = 1/a^n

Applying the Properties

  1. Apply the power of a product property: (-5x^2y^-1)^4 = (-5)^4 * (x^2)^4 * (y^-1)^4

  2. Apply the product of powers property: (-5)^4 * (x^2)^4 * (y^-1)^4 = 625 * x^(24) * y^(-14)

  3. Simplify the exponents: 625 * x^(24) * y^(-14) = 625x^8y^-4

  4. Apply the negative exponent property: 625x^8y^-4 = 625x^8 / y^4

Final Result

Therefore, the simplified form of (-5x^2y^-1)^4 is 625x^8/y^4.

Featured Posts