Define dimensional formula and dimensional equation by using suitable examples.

(N/A) Dimensional formula: The expression which shows how and which of the base quantities represent the dimensions of a physical quantity.
Example:
Dimensional formula of volume is $[M^{0} L^{3} T^{0}]$.
Dimensional formula of speed (or velocity) is $[M^{0} L^{1} T^{-1}]$.
Dimensional formula of acceleration is $[M^{0} L^{1} T^{-2}]$.
Dimensional formula of density is $[M^{1} L^{-3} T^{0}]$.
Dimensional equation: An equation obtained by equating a physical quantity with its dimensional formula is called the dimensional equation of that physical quantity.
Example:
Volume $[V] = [M^{0} L^{3} T^{0}]$
Speed or Velocity $[v] = [M^{0} L^{1} T^{-1}]$
Force $[F] = [M^{1} L^{1} T^{-2}]$
Density $[\rho] = [M^{1} L^{-3} T^{0}]$