The video purports to show Abu Bakr al-Baghdadi, who is the leader of the Sunni insurgent group that has launched powerful insurgencies in Iraq and Syria.
On Sunday, a string of attacks against Iraqi security forces struck 11 cities, wounded nearly 240 people, and killed at least 44. The violence is thought to be an attempt to undermine the government.
Critics of PowerPoint presentations argue that in a hail of bullets, no one can really communicate.
American soldiers say the battle for the northern Iraqi city is a complicated mix of counterterrorism, economic incentives, and political solutions.