In a system of units, if force `(F)`, acceleration `(A)` and time `(T)` are taken as fundamental units, then the dimensional formula of energyy is

Explanation

Energy `[ML^(2)T^(-2)]=[F]^(a)[A]^(b)[T]^(c)=[MLT^(-2)]^(a)[LT^(-2)]^(b)[T]^(c)=M^(a)L^(a+b)T^(-2a-2b+c)`
i.e. `a=1, a+b=2,c-2b-2a=-2`
`:.b=1` and `c=2` i.e `[FAT^(2)]`