Create a JavaScript file named to implement the following functions as part of your custom module:

a$.$ : Takes two numbers as arguments and returns their sum.

b$.$ 'subtract: Takes two numbers as arguments and returns the result of subtracting the second number from the first.

c$.$ 'multiply: Takes two numbers as arguments and returns the result of dividing the first number by the second.

e$.$ : Takes a number as an argument and returns its square.

f$.$ : Takes a number as an argument and returns its cube.

g$.$ 'power': Takes two numbers as arguments and'returns the first number raised to the power of the second.

h$.`$sqrt$\text{'}$: Takes a number as an argument and returns its square root.

Ensure to export these functions to create a module.

Create a separate JavaScript file named and import the module. Implement a calculator program using the functions from the module as follows:

Display a menu with different mathematical operations.

Prompt the user for their selection and input values $($if required$).$

Invoke the corresponding function from the module to perform the operation.

Display the result to the user.

Continuously display the menu until the user selects the exit option.

Provide an error message for invalid menu selections and prompt the user until a valid option is chosen.