https://file.aiquickdraw.com/mathbot/file/1726402175562z0p2g1qs.jpg

The problem asks to find the percentage of a result from a given mathematical expression. Here's the expression that I see in the image:

\[
\left(\frac{3}{2}\right)^{-4 \cdot (-0.75)} \cdot 0.09^{-0.5} - 7.5 \cdot 4^{\frac{3}{2}} - (-2)^{-4}
\]
Then, the task asks for this result to be expressed as a percentage of 2000.

I will now break down and solve this expression step by step. Let me compute that for you.The result of the given mathematical expression is approximately \(-48.81\). When expressed as a percentage of 2000, it is approximately \(-2.44\%\).

Would you like any further explanation or details? Here are some related questions you might find useful:

1. What is the significance of negative exponents in this expression?
2. How can we interpret negative percentages in real-life situations?
3. Could changing any part of this equation alter the final result significantly?
4. How can the square root operations affect the results in such complex expressions?
5. Why is the percentage calculated relative to 2000 in this problem?

**Tip:** When simplifying complex expressions with multiple operations, always break them down step by step, especially for exponents and roots.

Mitu % on arv [ (3/2)^(-4 * (-0.75)) ] * 0.09^(-0.5) - 7.5 * 4^(3/2) - (-2)^(-4) arvust 2000?

Learn how to calculate the percentage of a result from a complex algebraic expression involving exponents, roots, and percentage calculations. The expression is evaluated step by step, then the result is expressed as a percentage of 2000. Suitable for Grades 10-12.

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