React Js conditionally applying class attributes

As others have commented, classnames utility is the currently recommended approach to handle conditional CSS class names in ReactJs.

In your case, the solution will look like:

var btnGroupClasses = classNames(
  'btn-group',
  'pull-right',
  {
    'show': this.props.showBulkActions,
    'hidden': !this.props.showBulkActions
  }
);

...

<div className={btnGroupClasses}>...</div>

As a side note, I would suggest you to try to avoid using both show and hidden classes, so the code could be simpler. Most likely, you don't need to set a class for something to be shown by default.

2021 addendum: for performance improvement, you can look into clsx as an alternative.

The curly braces are inside the string, so it is being evaluated as string. They need to be outside, so this should work:

<div className={"btn-group pull-right " + (this.props.showBulkActions ? 'show' : 'hidden')}>

Note the space after "pull-right". You don't want to accidentally provide the class "pull-rightshow" instead of "pull-right show". Also the parentheses needs to be there.