The image you provided contains a mathematical expression involving exponents. The expression you're asked to simplify is:

$3m^2 \times 4m^3$

Let's go through the steps:

1. Multiply the coefficients: $3 \times 4 = 12$.
2. Apply the properties of exponents: When multiplying like bases (in this case, $m$), we add the exponents: $m^2 \times m^3 = m^{2+3} = m^5$

So, the simplified expression is:

$12m^5$

This is the final result.

Let me know if you need further clarification on this! Also, here are some related questions you can explore:

1. How do you simplify expressions with negative exponents?
2. What happens when you divide terms with the same base and exponents?
3. How do you handle exponents when there are parentheses in the expression?
4. What are the rules for raising a power to another power?
5. Can you simplify expressions involving multiple variables and exponents?

Tip: Always remember the rule that when multiplying powers with the same base, you add the exponents!