Time (T), velocity (C) and angular momentum (h) are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be :

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Dimension of length  \left [ L \right ]= \left [ CT \right ]
Dimension\: of \: mass= \frac{\left [ Angular\: Momentum \right ]}{\left [ Velocity \right ]\left [ Length \right ]}

= \frac{\left [ h \right ]}{\left [ C \right ]\left [ CT \right ]}= \left [ C^{-2}T^{-1}h \right ]

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