The reaction

$2A+3BC$

is first order with respect to A and $B.$ When the initial concentrations are $[A]=1\mathrm{.}45{10}^{-2}M$ and $[B]=2\mathrm{.}51{10}^{-3}M,$ the rate is $2\mathrm{.}93{10}^{-4}\frac{M}{s}.$ Calculate the rate constant of the reaction. Be sure to include units. Be sure your answer has the correct number of significant digits.

Rate constant: