Give the following expression grammar:

expr -> expr + term | term

term -> term * prod | prod

prod -> id | const | (expr)

id -> a | b | c

const -> 1 | 2 | 3

Add an exponentiation operator: ^

This operator should have higher precedence than multiply, and associate right to left.

a * b ^ c ^ 2 * 3 will be evaluated as it were written (a*(b^(c^2)))*3.