Answer
False statement
Work Step by Step
$5x^2\cdot4x^6$
Using the product rule:
$5x^2\cdot4x^6=(5\cdot 4)(x^{2+6})=20x^8.$
Thus, $5x^2\cdot4x^6\ne9x^8.$
Therefore, the statement is false.
The corrected statement is:
$5x^2\cdot4x^6=20x^8$