Question
Ask by Higgins Hill. in South Africa
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified form of
is
.
Solution
-
We start with the expression
-
Using the property of negative exponents, we know thatSo the expression becomes
-
Next, using the property of exponents for products, we haveThus, the expression simplifies to
-
The final simplified form is
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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!