Modify the expression grammar discussed in class to add ^ as an exponentiation operator (raise to power). It should have higher precedence than multiply, and associate right to left. (Thatmeansa * b ^ c ^2 * 3willbeevaluatedasthoughitwerewritten(a * (b ^ (c ^ 2))) * 3. )

Heres the expression grammar:

expr expr + term | term

term term prod | prod

prod id | const | (expr)

id a | b | c

const 1|2|3