This is a dup of a few other questions however:
Assure you have followed the documentation, make sure you have installed the Extras/Google Repository
from the SDK Manager and added the following dependency to your <project>/<modulename>/build.gradle
file (not the root .gradle file):
dependencies {
compile 'com.google.android.gms:play-services-auth:16.0.+'
}
Next sync your project and Gradle files using then rebuild your project.