Define dimensional formula and dimensional equation by using sultable example.

Explanation

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