Answer
$324$ times of its original value.
Work Step by Step
Step 1. Based on the given conditions, we have $m=kp^2q^4$ where $k$ is a constant.
Step 2. If $p'=2p, q'=3q$, we have $m'=k(2p)^2(3q)^4=324m$
Step 3. Thus, $m$ will be $324$ times of its original value.