Let's solve the expression step by step:

Given expression: 

\[
3 \left[\frac{(8 - 4)^5}{8}\right]
\]

1. **Subtract inside the parentheses**:

\[
8 - 4 = 4
\]

So the expression becomes:

\[
3 \left[\frac{4^5}{8}\right]
\]

2. **Calculate \(4^5\)**:

\[
4^5 = 1024
\]

Now the expression is:

\[
3 \left[\frac{1024}{8}\right]
\]

3. **Divide \(1024\) by \(8\)**:

\[
\frac{1024}{8} = 128
\]

4. **Multiply by 3**:

\[
3 \times 128 = 384
\]

So, the final answer is:

\[
\boxed{384}
\]

Would you like more details or have any questions?

Here are 5 related questions you might find useful:
1. How would the result change if the exponent was 4 instead of 5?
2. What if the expression inside the parentheses was \( (8 + 4) \) instead of \( (8 - 4) \)?
3. Can you solve \( 2\left[\frac{(7-2)^3}{5}\right] \)?
4. How does the value change if the 3 outside the brackets is replaced by 5?
5. How do you simplify the expression if there are variables involved, like \( 3\left[\frac{(x - 4)^5}{8}\right] \)?

**Tip:** Always remember to perform operations inside parentheses first, followed by exponents, before moving on to division, multiplication, addition, and subtraction (PEMDAS/BODMAS).

Learn how to solve the mathematical expression 3[(8-4)^5/8] step-by-step. This problem involves arithmetic operations, exponents, and follows the order of operations (PEMDAS/BODMAS). Suitable for students in Grades 6-8.

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