To simplify the expression $(3m^2m^3)(2m^4n^6)$, we can follow these steps:

1. Combine like terms: Start by multiplying the coefficients and then multiply the variables with the same base.

$(3m^2m^3)(2m^4n^6) = (3 \times 2) \times (m^2 \times m^3 \times m^4) \times n^6$

2. Multiply the coefficients:

$3 \times 2 = 6$

3. Multiply the powers of $m$: Add the exponents since the bases are the same.

$m^2 \times m^3 \times m^4 = m^{2+3+4} = m^9$

4. Combine everything:

$6m^9n^6$

So, the simplified expression is:

$6m^9n^6$

Would you like more details or have any questions?

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Here are some related questions you might find helpful:

1. How do you simplify expressions with multiple variables?
2. What are the laws of exponents used in algebra?
3. Can you demonstrate how to multiply binomials?
4. How do you simplify expressions with fractional exponents?
5. What are the steps for factoring polynomial expressions?
6. How do you solve equations with exponents?
7. Can you explain the difference between monomials, binomials, and polynomials?
8. How do you apply the distributive property to algebraic expressions?

Tip: Always remember to combine like terms and use the laws of exponents when simplifying algebraic expressions.