The expression $1^2 \times 3^2$ can be calculated as follows:

$1^2 = 1 \quad \text{and} \quad 3^2 = 9$

Now, multiplying them:

$1 \times 9 = 9$

So, the result is:

$1^2 \times 3^2 = 9$

Would you like more details or have any questions?

Here are 5 related questions for further exploration:

1. What is the value of $2^2 \times 4^2$?
2. How does $1^n$ behave for any integer $n$?
3. What is the general formula for $a^2 \times b^2$?
4. Can you express $(a \times b)^2$ in terms of individual squares?
5. What happens when both bases are fractions, like $\left(\frac{1}{2}\right)^2 \times \left(\frac{3}{2}\right)^2$?

Tip: Squaring a number means multiplying the number by itself, which is a fundamental concept in powers.