As, force $=$ mass $\times$ acceleration
$\Rightarrow $ Force $=[ M ] \times\left[ M ^{0} L ^{1} T ^{-2}\right]$
$\Rightarrow $ Force $=\left[ M ^{1} T _{.}^{1} T ^{-2}\right]$
So, the force does not have the dimensional formula $\left[ M L ^{-1} T ^{-2}\right]$