Evaluate the following expression for xequals20.
8000 left parenthesis 1.08 Superscript x right parenthesis
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Part 1
8000 left parenthesis 1.08 Superscript x right parenthesisequals
  
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​(Do not round until the final answer. Then round to two decimal places as​ needed.)

The value of the expression \( 8000 \times (1.08^{20}) \) is approximately 37,287.66 when rounded to two decimal places.

Would you like more details or have any questions?

Here are 5 related questions:
1. How does changing the base from 1.08 to another value affect the result?
2. What happens if \( x = 25 \) in the same expression?
3. Can you express \( 1.08^x \) as a logarithmic equation and solve for \( x \)?
4. How would this expression behave if the exponent \( x \) were negative?
5. What is the relationship between compounding interest and this type of exponential growth?

**Tip:** In exponential expressions, small changes in the exponent can lead to large variations in the result due to the power function.

Evaluate the following expression for x equals 20: 8000(1.08^x). (Do not round until the final answer. Then round to two decimal places as needed.)

Learn how to evaluate the exponential expression 8000(1.08^20) and understand the principles behind exponential growth. The final answer is approximately 37,287.66. Suitable for students in Grades 9-12, covering key algebraic concepts such as exponents and exponential growth.

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