simplify xy xy

Understand the Problem

The question is asking to simplify the expression 'xy xy', which suggests that it involves factoring or combining like terms in algebra. The goal is to find a simpler form of the expression.

Answer

The expression simplifies to $(xy)^2$.
Answer for screen readers

The final answer is $(xy)^2$.

Steps to Solve

  1. Identify the expression to simplify

The expression we need to simplify is $xy \cdot xy$.

  1. Apply the exponent rule

When multiplying terms with the same base, we can use the rule $a^m \cdot a^n = a^{m+n}$. In our case, both terms have the same base $xy$.

  1. Simplify the expression

Using the exponent rule, we can rewrite the expression as:

$$ xy \cdot xy = (xy)^2 $$

  1. Final form

This means that the simplified expression is:

$$ (xy)^2 $$

The final answer is $(xy)^2$.

More Information

The expression $(xy)^2$ indicates that both $x$ and $y$ are multiplied together and then the result is squared. This simplification makes it clearer and more manageable to work with in further calculations.

Tips

  • A common mistake is to forget that when multiplying the same base, you need to add the exponents. Since we are multiplying the same expression, don't treat it as separate terms.

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