Question

Ask by Higgins Hill. in South Africa
Mar 12,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The simplified form of is .

Solution

  1. We start with the expression
  2. Using the property of negative exponents, we know that
    So the expression becomes
  3. Next, using the property of exponents for products, we have
    Thus, the expression simplifies to
  4. The final simplified form is

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Bonus Knowledge

Did you know that the expression represents a unique relationship between x and y? Here, the negative exponent indicates that the expression is inversely proportional to the square of the product and . This means as and increase, the overall value of the expression decreases, showcasing the beauty of how mathematics can illustrate inverse relationships!
When working with negative exponents like , a common mistake is to overlook that it translates to . So remember, when you see that negative sign, flip it! Instead of calculating directly, rewrite it as a fraction first to avoid confusion and simplify your work. Happy calculating!

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