You need to use the format
attribute to display the output however you want. In your case to be able to display it as 09/17/2018
, you can just have it as:
<ui:outputDate value="{!v.myDataList[0].ExpirationDate__c}" format="MM/DD/YYYY"/>
Refer to the documentation's specification for details.
If you need to support User's locale, use lightning:formattedDate instead, which allows to format the date based on User's locale.
A lightning:formattedDateTime component displays formatted date and time. This component uses the Intl.DateTimeFormat JavaScript object to format date values. The locale set in the app's user preferences determines the formatting.