This article explains how to connect Amazon Prime Music to all models of the Amazon Echo, Echo Dot, and other devices compatible with Amazon's voice assistant.
How to Set Up Music and Podcasts with Alexa | Amazon Echo
Amazon Prime subscribers can stream over 2 million songs for free on any Amazon Echo using simple voice commands. It’s also possible to link other music services to your Alexa device. To play music on your Amazon Echo, say one of the following commands:
Alexa chooses a station she thinks you'll like based on data she's collected about the music you've purchased through Amazon.
To be more specific, say a genre, artist, or song by name. Experiment with commands until you find what you want to hear. Alexa will let you know if it’s not in her library.