Let M∝[FaLbTc] Writing dimensions on both sides and using the principle of homogeneity of dimensions we have, [M1L0T0]=k[MLT−2]a[L]b[T]c on comparing the power on both sides we get a=1,a+b=0 and −2a+c=0 on solving we have b=−1,c=2,a=1 ∴ units of mass is [FL−1T2 ]