In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The measured quantity has dimension of [ M^a L^b…

In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The measured quantity has dimension of $\displaystyle \left[\mathrm{M}^{\mathrm{a}} \mathrm{L}^{\mathrm{b}} \mathrm{T}^{\mathrm{c}}\right]$. If $\displaystyle \mathrm{b}=3$, the value of c is $\displaystyle \_\_\_\_$