Final answer:
To represent the expression (a³. a÷a¯³)¯¹ as a power of a, we need to simplify the expression. By following the steps provided, we find that the expression can be represented as a².
Step-by-step explanation:
To represent the expression (a³. a÷a¯³)¯¹ as a power of a, we need to simplify the expression. Let's break it down step by step:
Cancelling out a³ and 1/a³, the expression becomes a * a.
Finally, we can rewrite a * a as a². Therefore, (a³. a÷a¯³)¯¹ can be represented as a².