- Added handling for parameters of type "range".
- Ensured that the minimum value does not exceed the maximum value.
- Adjusted topic options to respect the defined range constraints.

Related to issue #2

…wersRule): Add product of powers rule problem generator

- Implemented `productOfPowersRule.js` to generate problems involving the product of powers rule.
- Included options for problem customization, such as base range, exponent range, and variable inclusion.
- Added support for both MCQ and step-based problem formats.
- Implemented solution calculation by summing the exponents of the same base.
- Added LaTeX formatting for problem statements, solutions, and steps.
- Enhanced parameter validation with configurable value ranges for bases and exponents.

Related to issue #2

…wersRule): Add tests for product of powers rule problem generator

- Implemented tests for `productOfPowersRule.js` to ensure correct problem generation.
- Added tests for variable base problems.
- Added tests for numeric base problems.
- Added tests for multiple choice question format.
- Verified correct steps generation for problem solutions.
- Validated the range of base and exponent values.

Related to issue #2

…ersRule): Add instruction text for MCQ options

- Added instruction text "Choose the correct answer." before multiple choice question options.
- Enhanced clarity for users when selecting the correct answer in MCQ format.

Related to issue #2

…ersRule): Fix rendering issue for multi-digit exponents

- Fixed an issue where multi-digit exponents were not correctly rendered by adding curly braces `{}` around exponents.
- Updated corresponding tests to ensure proper rendering of multi-digit exponents.

Related to issue #2

…wersRule): Add Product of Powers Rule to index

- Added the Product of Powers Rule generator to the index.json file.
- Included descriptions and parameters for the Product of Powers Rule topic.

Related to issue #2

…owersRule): Implement quotient of powers rule generator and add to index

- Implemented `quotientOfPowersRule.js` to generate problems involving the quotient of powers rule.
- Added support for multiple choice questions and variable inclusion.
- Included options for customizing base and exponent ranges.
- Added the quotient of powers rule generator to the index.json file with descriptions and parameters.

Related to issue #2

…owersRule): Add tests for quotient of powers rule problem generator

- Implemented tests for `quotientOfPowersRule.js` to ensure correct problem generation.
- Added tests for variable base problems.
- Added tests for numeric base problems.
- Added tests for multiple choice question format.
- Verified correct steps generation for problem solutions.
- Validated the range of base and exponent values.

Related to issue #2

…rRule): Implement power of power rule generator and add to index

- Implemented `powerOfPowerRule.js` to generate problems involving the power of a power rule.
- Added support for multiple choice questions and variable inclusion.
- Included options for customizing base and exponent ranges.
- Added the power of power rule generator to the index.json file with descriptions and parameters.

Related to issue #2

…rRule): Add tests for power of power rule problem generator

- Implemented tests for `powerOfPowerRule.js` to ensure correct problem generation.
- Added tests for variable base problems.
- Added tests for numeric base problems.
- Added tests for multiple choice question format.
- Verified correct steps generation for problem solutions.
- Validated the range of base and exponent values.

Related to issue #2

…uctRule): Implement power of product rule generator and add to index

- Implemented `powerOfProductRule.js` to generate problems involving the power of a product rule.
- Added support for multiple choice questions and variable inclusion.
- Included options for customizing base range, inner exponent range, outer exponent range, and number of factors.
- Added the power of product rule generator to the index.json file with descriptions and parameters.

Related to issue #2

…ctRule): Ensure unique alphabetic bases for factors

- Enforced the use of alphabetic characters as bases to prevent duplicate bases in generated problems.
- Improved the uniqueness of factors in the power of product rule problems.

Related to issue #2

…oduct of powers, quotient of powers, and product of exponents

- Implemented `power` function to format power expressions.
- Implemented `productOfPowers` function to format product of powers expressions.
- Implemented `quotientOfPowers` function to format quotient of powers expressions.
- Implemented `productOfExponents` function to format product of exponents expressions.

Related to issue #2

…tor code to use expressionTemplates

- Refactored `productOfPowersRule.js` to use `expressionTemplates.exponent` for formatting expressions.
- Refactored `quotientOfPowersRule.js` to use `expressionTemplates.exponent` for formatting expressions.
- Refactored `powerOfPowerRule.js` to use `expressionTemplates.exponent` for formatting expressions.
- Refactored `powerOfProductRule.js` to use `expressionTemplates.exponent` for formatting expressions.

Related to issue #2

…uctRule): Add tests for power of product rule problem generator

- Implemented tests for `powerOfProductRule.js` to ensure correct problem generation.
- Added tests for variable base problems with two and three factors.
- Added tests for numeric base problems with two and three factors.
- Added tests for multiple choice question format.
- Verified correct steps generation for problem solutions.
- Ensured that powers of 1 are not generated.

Related to issue #2

…sponding tests

- Added `quotientOfDifferentBases` function to format quotient of different bases expressions.
- Added `powerOfQuotient` function to format power of quotient expressions.
- Added `quotientOfProducts` function to format quotient of products expressions.
- Implemented corresponding tests for the new exponent templates.

Related to issue #2

…ientRule): Implement power of quotient rule generator and add to index

- Implemented `powerOfQuotientRule.js` to generate problems involving the power of a quotient rule.
- Added support for multiple choice questions and variable inclusion.
- Included options for customizing exponent ranges and inner exponent ranges.
- Added the power of quotient rule generator to the index.json file with descriptions and parameters.

Related to issue #2

…ientRule): Add tests for power of quotient rule problem generator

- Implemented tests for `powerOfQuotientRule.js` to ensure correct problem generation.
- Added tests for problems with variable numerator and denominator.
- Added tests for multiple choice question format.
- Verified correct steps generation for problem solutions.
- Validated the range of exponent values.

Related to issue #2

- Implemented `randomBool` function to generate a random boolean value.
- Added tests for `randomBool` to ensure correct functionality.

Related to issue #2

…onentRule): Implement negative exponent rule generator and add to index

- Implemented `negativeExponentRule.js` to generate problems involving the negative exponent rule.
- Added support for multiple choice questions and variable inclusion.
- Included options for customizing base range and exponent range.
- Added the negative exponent rule generator to the index.json file with descriptions and parameters.

Related to issue #2

…onentRule): Add tests for negative exponent rule problem generator

- Implemented tests for `negativeExponentRule.js` to ensure correct problem generation.
- Added tests for variable base problems.
- Added tests for numeric base problems.
- Added tests for multiple choice question format.
- Verified correct steps generation for problem solutions.
- Validated the range of base and exponent values.

Related to issue #2

…add corresponding tests

- Implemented `zeroExponent` function to format expressions with zero exponents.
- Added tests for `zeroExponent` to ensure correct formatting of zero exponent expressions.

Related to issue #2

…tRule): Implement zero exponent rule generator and add to index

- Implemented `zeroExponentRule.js` to generate problems involving the zero exponent rule.
- Added support for multiple choice questions and variable inclusion.
- Included options for customizing base range.
- Added the zero exponent rule generator to the index.json file with descriptions and parameters.

Related to issue #2

…tRule): Add tests for zero exponent rule problem generator

- Implemented tests for `zeroExponentRule.js` to ensure correct problem generation.
- Added tests for variable base problems.
- Added tests for numeric base problems.
- Added tests for multiple choice question format.
- Verified correct steps generation for problem solutions.
- Validated the range of base values.

Related to issue #2

…ts and radical.root template functions with tests

- Implemented `exponent.fractionOfExponents` function to format fraction of exponents expressions.
- Implemented `radical.root` function to format root expressions.
- Added tests for `exponent.fractionOfExponents` to ensure correct formatting.
- Added tests for `radical.root` to ensure correct formatting.

Related to issue #2

…xponents): Implement fractional exponents generator and add to index

- Implemented `fractionalExponents.js` to generate problems involving fractional exponents.
- Added support for multiple choice questions and variable inclusion.
- Included options for customizing base range, numerator exponent range, and denominator exponent range.
- Added the fractional exponents generator to the index.json file with descriptions and parameters.

Related to issue #2

…xponents): Add tests for fractional exponents problem generator

- Implemented tests for `fractionalExponents.js` to ensure correct problem generation.
- Added tests for variable base problems.
- Added tests for numeric base problems.
- Added tests for multiple choice question format.
- Verified correct steps generation for problem solutions.
- Validated the range of base and exponent values.

Related to issue #2

…eExponentRule): Rename MCQ options array to choices

- Renamed the MCQ options array to `choices` to avoid confusion with the `options` parameter.
- Improved code readability and maintainability.

Related to issue #2