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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.

Work out the value of (2^2)^4 × (10^3)^2

Learn how to simplify and solve the expression (2^2)^4 × (10^3)^2 using exponent rules. This detailed explanation demonstrates key exponent laws and is suitable for students in Grades 8-10.

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