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(3xy4)4

less than a minute read Jun 16, 2024
(3xy4)4

Simplifying (3xy^4)^4

In mathematics, simplifying expressions is a crucial skill. Let's take a look at how to simplify the expression (3xy^4)^4.

Understanding the Properties

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

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

Step-by-Step Simplification

  1. Apply the power of a product property: (3xy^4)^4 = 3^4 * x^4 * (y^4)^4

  2. Apply the power of a power property: 3^4 * x^4 * (y^4)^4 = 3^4 * x^4 * y^(4*4)

  3. Calculate the exponents: 3^4 * x^4 * y^(4*4) = 81 * x^4 * y^16

Final Result

Therefore, the simplified form of (3xy^4)^4 is 81x^4y^16.

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