$\lbrack X\rbrack = \left\lbrack \frac{M^{- 1}L^{3}T^{- 2} \times ML^{2}T^{- 1}}{{L^{3}T}^{- 3}} \right\rbrack^{- 1/2} = \lbrack L\rbrack$
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Ph.D. in Physics with 19+ years of teaching experience.