Having a "more powerful flash" won't help you to illuminate the background. The flash is going to turn on long enough to provide enough light to expose the subject, and due to flash fall off the background is going to be black unless there is something close to the subject to reflect that light back into the camera. You could use two flashes, one to expose for the subject and the other for the background. But you're going to have to set that background flash manually since E-TTL flash metering will only turn the flash on long enough to expose the subject.
If you see someone shooting at 1x or higher magnification and the background isn't black then they are doing one of two things:
Put something in the background, close to the subject, to reflect light back into the camera. In this case an artificial flower:
IMAGE LINK: https://flic.kr/p/toqCN1
Wool Carder Bee Series 1-5
by
John Kimbler
, on Flickr
Increasing the ISO, dragging the shutter (dropping the shutter speed down while leaving other light influencing variables alone), lowering the Fstop, or a combination of all of those to get some natural light in the background. In this case I'm shooting at ISO 200 and I've dropped the shutter speed down to 1/60 of a second to expose the background. It worked because I'm shading the subject (so the dominant light source on it is the flash):
IMAGE LINK: https://flic.kr/p/vfATZH
Baited Series 1-1
by
John Kimbler
, on Flickr
Keep in mind that adjusting the shutter only effects the natural light exposure, adjusting ISO and Fstop will effect both the natural light and the flash exposure.