Let's break down the expression step by step for clarity and then evaluate it.

The given expression is:

$\left( \left( 14600 \times 0.85 \times 1 \right) \times \frac{0.207 - 0}{2.1315} \right) \times \frac{0.207 - 0}{0.207 - 0} + \left( 0.643 \times 0.3249 \times \left( 2.1315 \times (0.207 - 0) \right)^{0.5} \right)$

Step 1: Simplify the components

1. $14600 \times 0.85 \times 1 = 12410$
2. $0.207 - 0 = 0.207$, so we have:
   • The first term becomes:
     $12410 \times \frac{0.207}{2.1315}$
   • The second term becomes: $0.207 / 0.207 = 1$

So, the first part of the equation simplifies to: $12410 \times \frac{0.207}{2.1315} \times 1$

3. For the second term:
   • First, calculate: $2.1315 \times 0.207 = 0.4414605$
   • Then raise this to the power of $0.5$: $0.4414605^{0.5} = 0.6641$
   • Now multiply by $0.643$ and $0.3249$: $0.643 \times 0.3249 \times 0.6641 = 0.1417$

Step 2: Combine both parts

Now, we compute each part:

1. First term: $12410 \times \frac{0.207}{2.1315} = 12410 \times 0.0971 \approx 1204.1$

2. Add the second term: $1204.1 + 0.1417 = 1204.2417$

Final Answer:

$1204.2417$

Would you like more details on any of these steps? Feel free to ask if anything is unclear!

Related Questions:

1. How would the result change if $0.207$ was replaced with a higher value, say $0.3$?
2. How do the square root and exponentiation steps influence the outcome of such expressions?
3. How can we apply similar formulas in real-life scenarios, such as in economics or engineering?
4. What happens if we reduce $2.1315$ in the denominator?
5. How would the result change if the multiplication factor (e.g., 0.85) was adjusted?

Tip: When dealing with complex formulas, break them into smaller parts and simplify each step before combining them to avoid calculation mistakes!