Simple programm to evaluate expressions

binary_tree.py

class Branch:
    
    def __init__(self, value):
        self.value = value
        self.operation = None
        self.left = None
        self.right = None
        self.split()
        self.simplified_result = self.eval_branch()

        
    def split(self):
        for operations in (('+', '-'), ('*', '/'), ('^')):
            index = len(self.value) - 1
            for char in self.value[::-1]:
                if char in operations:
                    self.operation = char
                    self.left = Branch(self.value[:index])
                    self.right = Branch(self.value[index+1:])
                    return
                index -= 1
                        
    def eval_branch(self):
        op = self.operation
        left = self.left
        right = self.right
        if op == None:
            return float(self.value)
        elif op == '+':
            return  left.simplified_result + right.simplified_result
        elif op == '-':
            return left.simplified_result - right.simplified_result
        elif op == '*':
            return left.simplified_result * right.simplified_result
        elif op == '/':
            return left.simplified_result / right.simplified_result
        elif op == '^':
            return left.simplified_result ** right.simplified_result
                    
    def __str__(self):
        return f"Value : {self.value}\nSimplified result: {self.simplified_result}\n" \
                  f"Operation: {self.operation}\nLeft member: {self.left}\nRight member: {self.right}\n\n"
        
        

my_branch = Branch("3+2*4^4-5/28")
print(my_branch)