In dimensional analysis formula how to take the value of a, b and c ?????? Plz explain

Dear student,
Your question is not clear and appears to be incomplete. Considering the simplest case;

$$\begin{gathered} To establish the relation between different physical quantities; we can use dimentional analysis; \\ Let us say, we know force \left(F\right) acting on a body is dependent on mass\left(m\right) and accleration \left(a\right) of the body \\ hence, \\ F \propto m^a \\ F\propto a^b \\ where, the a and b are the power of mass and accleration respectively. \\ F\propto m^a{a}^b \\ F = k\left(m^a\right)\left(a^b\right) \\ now dimension of F =\left[ML{T}^{-2}\right] \\ and diemension of mass= \left[M\right] \\ and dimension of accelration =\left[L{T}^{-2}\right] \\ Now for the equation to be dimensionally correct \\ , \left[ML{T}^{-2}\right]= {\left[M\right]}^a{\left[L{T}^{-2}\right]}^{b}hence, comparing both side \\ a=1 \\ and b=1 \\ hence, F =ma \\ this is the process to calculate a and b \end{gathered}$$

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