List the best apps Android has to offer for each category and those are likely considered "entry-level" for us iOS users.
Offhand, there are the many quality apps which are available only on iOS. We are spoilt for choice in emails apps alone (having Spark, Airmail, Dispatch and Newton). Same with Twitter clients, where iOS has tweetbot, and the rest of the 3rd party twitter apps on Android are a hot mess. If I want to access files from my phone, iOS has Coda and Transmit, while the Android equivalent (AndFTP) apparently has quite the horrendous UI.
Then there are apps for audio recording (GarageBand, Ferrite), annotation (pinpoint, annotable, plus they work better with photos extensions in iOS 8), photo editing (pixelmator), generating affiliate links (Blink), podcasts (iOS has Overcast) and calendar apps (Fantastical). Heck, even Google makes the effort to ensure that their iOS apps are on par with the Android apps, if not better in terms of performance and functionality.
Uber and Lyft allow for Maps and Siri integration in iOS 10 (something Google had to do on its own, and even then only for Uber, while Apple simply provided the SDK and let Uber do the work itself).
So in summary, Android may be home to good apps, but iOS remains home to the best apps for getting any sort of task done. I think it's safe to conclude that when someone tells you that Android is “more powerful” than iOS, they’re probably talking about changing the UI font, or using a custom home screen, or using
Tasker to automate little things like turning off Wifi when I leave the house; they’re not talking about getting real work done.