(3xy^2)^2

less than a minute read Jun 16, 2024
(3xy^2)^2

Simplifying (3xy^2)^2

In mathematics, simplifying expressions is an important skill. Let's break down how to simplify the expression (3xy^2)^2.

Understanding the Concept

The expression (3xy^2)^2 represents squaring the entire term 3xy^2. This means multiplying the term by itself.

Applying the Exponent Rule

To simplify, we use the rule of exponents which states that (a^m)^n = a^(m*n).

Applying this rule to our expression:

(3xy^2)^2 = 3^2 * x^2 * (y^2)^2

Simplifying further

Now, we simplify each part:

  • 3^2 = 9
  • x^2 = x^2
  • (y^2)^2 = y^(2*2) = y^4

Final Result

Combining these simplified parts, we get the final result:

(3xy^2)^2 = 9x^2y^4

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