The expression in the image shows:

$2^3 \cdot 3^2 \cdot 4^2$

Let's simplify it step by step:

1. $2^3 = 2 \times 2 \times 2 = 8$
2. $3^2 = 3 \times 3 = 9$
3. $4^2 = 4 \times 4 = 16$

Now, multiply these together:

$8 \cdot 9 = 72$ $72 \cdot 16 = 1152$

So, the simplified value of $2^3 \cdot 3^2 \cdot 4^2$ is 1152.

Would you like more details, or do you have any questions?

Here are 5 related questions to expand the concept:

1. What is the general rule for multiplying exponents with the same base?
2. How do you simplify expressions with multiple exponents?
3. What is the prime factorization of 1152?
4. How would the result change if we used different powers for 2, 3, or 4?
5. How can you express the result using scientific notation?

Tip: When simplifying large exponent expressions, simplify each term separately before multiplying to avoid errors.