From th e data provided in the table below, the following rate law was experimentally determined:

rate $=$ k$[$A$]2[$B$]$

Experiment $[$A$]($M$)[$B$]($M$)$ Initial Rate $($Ms$1)$

$10\mathrm{.}0130\mathrm{.}129\mathrm{.}40$ x $103$

$20\mathrm{.}0260\mathrm{.}123\mathrm{.}76$ x $102$

$30\mathrm{.}0130\mathrm{.}241\mathrm{.}88$ x $102$

What is the experimentally determined value of the rate constant k$?($report answer to $3$ significant figures and ignore units$)$