the area of the triangle can be represented by the expression 14x^5+63x^2. if the base is 7x^2, write an expression to represent its height.

The first thing you should know for this case is that the area of a triangle is given by:
 A = (1/2) * (b) * (h)
 Where,
 b: base.
 h: height.
 Clearing the height we have:
 h = ((2) * (A)) / (b)
 Substituting the values
 h = ((2) * (14x ^ 5 + 63x ^ 2)) / (7x ^ 2)
 Simplifying the expression:
 h = ((2) * (2x ^ 3 + 9))
 h = 4x ^ 3 + 18
 answer
 an expression to represent its height is
 h = 4x ^ 3 + 18