We can solve the given expression step by step:

The expression is:
\[
\left(1 - \frac{1}{(1.08)^4}\right) / 0.08 \times 11,000
\]

### Step 1: Calculate \((1.08)^4\)
\[
(1.08)^4 = 1.08 \times 1.08 \times 1.08 \times 1.08
\]
This equals approximately 1.36049.

### Step 2: Calculate \(\frac{1}{(1.08)^4}\)
\[
\frac{1}{1.36049} \approx 0.73483
\]

### Step 3: Subtract the value from 1
\[
1 - 0.73483 = 0.26517
\]

### Step 4: Divide the result by 0.08
\[
\frac{0.26517}{0.08} \approx 3.31463
\]

### Step 5: Multiply the result by 11,000
\[
3.31463 \times 11,000 \approx 36,461.93
\]

Thus, the final result is approximately:
\[
36,461.93
\]

Would you like further explanation or details on any step?

Here are 5 relative questions based on this:

1. How does compound interest relate to expressions like \((1.08)^n\)?
2. What is the significance of the base 1.08 in this calculation?
3. Can the same approach be applied to different growth rates (e.g., 1.05 or 1.10)?
4. How would the result change if the exponent were higher or lower?
5. How do fractional exponents affect growth rates?

**Tip:** Always keep track of units in financial or physical problems—percentages and interest rates typically assume specific time intervals!

This guide walks you through solving the expression (1 - 1/(1.08)^4)/0.08 × 11,000 step by step, covering exponentiation, division, subtraction, and multiplication. Suitable for high school students in Grades 10-12.

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