Answer
False statement
Work Step by Step
$4x^3\cdot3x^4$
Using the product rule:
$4x^3\cdot3x^4=(4\cdot 3)(x^{3+4})=12x^7.$
Thus,
$4x^3\cdot3x^4\ne 12x^{12}$.
Therefore, the statement is false.
The corrected statement is:
$4x^3\cdot 3x^4=12x^7$
