The dimensions of a couple are

The dimensions of permittivity ${\varepsilon _0}$ are

The dimensional formula $M L^{-1} T^{-2}$ does not represent which of the following physical quantities?

Given that $\int {e^{ax}} dx = a^m e^{ax} + C$,then which statement is incorrect (Dimension of $x = L^1$)?

Given below are two statements :
Statement $(I)$ : Dimensions of specific heat are $\left[L^2 \,T^{-2} \,K^{-1}\right]$.
Statement $(II)$ : Dimensions of gas constant are $\left[ML^2 \,T^{-1} \,K^{-1}\right]$.

Derive the dimensional formula for $R$ (Universal gas constant) from the equation $PV = \mu RT$.