(N/A) The dimensions of a physical quantity are the powers (or exponents) to which the base quantities must be raised to represent that quantity.
Any physical quantity can be expressed as a combination of the $7$ base (fundamental) quantities.
Their symbols are as follows:
Mass: $M$
Length: $L$
Time: $T$
Electric current: $A$
Thermodynamic temperature: $K$
Luminous intensity: $cd$
Amount of substance: $mol$
Example $1$: Volume
$\text{Volume} = \text{length} \times \text{breadth} \times \text{height}$
$= L \times L \times L = L^3$
In terms of dimensions,volume is represented as $[M^0 L^3 T^0]$. Here,the dimension of length is $3$,while the dimensions of mass and time are $0$.
Example $2$: Force
$\text{Force} = \text{mass} \times \text{acceleration}$
$= M \times (L T^{-2}) = [M^1 L^1 T^{-2}]$
Here,the dimensions of force are $1$ in mass,$1$ in length,and $-2$ in time.