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(4xy)^2

2 min read Jun 16, 2024
(4xy)^2

Understanding (4xy)^2

In mathematics, squaring a term means multiplying it by itself. Therefore, (4xy)^2 is equivalent to (4xy) multiplied by (4xy).

Breaking Down the Equation

  • (4xy)^2 = (4xy) * (4xy)

Let's analyze each part:

  • 4: This is a constant coefficient.
  • x: This is a variable representing an unknown value.
  • y: Another variable representing an unknown value.

Applying the Rules of Exponents

To simplify the expression, we can apply the following rules of exponents:

  • (ab)^n = a^n * b^n
  • a^m * a^n = a^(m+n)

Step-by-Step Simplification

  1. Distribute the square: (4xy)^2 = 4^2 * x^2 * y^2
  2. Calculate 4^2: 4^2 = 16
  3. Combine the terms: 16 * x^2 * y^2

Final Result

Therefore, the simplified form of (4xy)^2 is 16x^2y^2.

Key Points

  • Squaring a term means multiplying it by itself.
  • Exponent rules are crucial for simplifying expressions with exponents.
  • The final result is a product of the squared values of each factor in the original term.

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