It appears there was an issue accessing the images for display. However, from the visible content in the upload, the problem is a mathematical expression.

The expression provided is: $(2^2)^4 \times (10^3)^2$

Let’s solve this step-by-step:

Step 1: Simplify each part of the expression

For $(2^2)^4$: $(2^2)^4 = 2^{2 \times 4} = 2^8 = 256$

For $(10^3)^2$: $(10^3)^2 = 10^{3 \times 2} = 10^6 = 1,000,000$

Step 2: Multiply the results

Now, multiply the two results: $256 \times 1,000,000 = 256,000,000$

Thus, the value of the expression is: $\boxed{256,000,000}$

Would you like further explanation or help with anything else? Here are some related questions:

1. How do you simplify expressions involving exponents?
2. Why do you multiply the exponents when raising a power to another power?
3. What is the general rule for multiplying powers of ten?
4. How does the multiplication of large powers simplify in scientific notation?
5. Can you provide another example of solving a similar expression?

Tip: When raising an exponent to another exponent, you multiply the powers.