The statement is False.
When you multiply the expressions \(3m^2\) and \(2m^3\), you multiply the coefficients (the numbers) and add the exponents of \(m\) because they have the same base.
So, the calculation would be:
\(3m^2 \times 2m^3 = (3 \times 2)(m^{2+3}) = 6m^{5}\).
However, the correct interpretation of the statement relies on how the multiplication is presented. The correct interpretation in a strict sense means you should call attention to the multiplication as individual components of the expression:
- You have \(3 \cdot 2 = 6\)
- You have \(m^2 \cdot m^3 = m^{2+3} = m^5\)
Thus, \(3m^2 \times 2m^3 = 6m^5\) is indeed true.
Therefore, if we focus purely on the numerical and algebraic operation, the statement would be considered True under mathematical operations.
If it's stating it in context of being simplified without acknowledging context or operations, one might question False, but in this arithmetic/algebraic approach, True is correct.
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