a term is related as at=bt2 + ct3 +d,if 'a' has dimension of power,find the dimention of 'b','c' and 'd'......'t' is the time
a t = b t^2 + c t^3 + d
a t is (force * distance / time) *time
= m L/T^2 * L = m L^2/T^2
the other terms must have the same
so b T^2 = m L^2/T^2
b has dimension m L^2/T^4
c T^3 = m L^2/T^2
c has dimensions m L^2/T^5
d is m L^2/T^2
by the way since a has dimensions of power then a t has dimensions of work or energy (Joules)
d has dimensions