Question

4m^2n^3 times 3m^3n^4 simplify using algebra 1 exponential rules

Answer 1

To simplify the expression \(4m^2n^3 \times 3m^3n^4\), we can use the properties of exponents and combine like terms.

1. **Multiply the coefficients** (numbers):
\[
4 \times 3 = 12
\]

2. **Multiply the variables with the same base** using the rule \(a^m \times a^n = a^{m+n}\):
- For \(m\):
\[
m^2 \times m^3 = m^{2+3} = m^5
\]
- For \(n\):
\[
n^3 \times n^4 = n^{3+4} = n^7
\]

3. **Combine everything together**:
\[
12m^5n^7
\]

Thus, the simplified expression is:
\[
\boxed{12m^5n^7}
\]