I saw in a video that Wolfram said that they will be allowing direct compiling into and APK. I sure hope that includes more than just an embed code directed at a web API. Anything that can be local should be local if at all possible. Apps that are overly dependent on the web get tons of bad ratings, which drops your rank, which drops your chances of having a successful app.

I assume this post is just an overview using a simple application to demonstrate calling the API from Android-Java. Java has Math.pow(b,e).

Short answer, yes.

Whenever a call is made to a Cloud API, credits are deducted from the person that deployed that API. That is to say, if you were to make and deploy an API, your personal account would be deducted credits every time your users clicked the compute button.

On the other hand, since I deployed the squaring API used in the above example, my account is deducted credits anytime someone uses it.