Answer : The balanced chemical reaction will be:
[tex]AuI_4+2Br2\rightarrow AuBr_4+2I_2[/tex]
Explanation :
Single replacement reaction : A chemical reaction in which the more reactive element replace the less reactive element.
It is represented as,
[tex]A+BC\rightarrow AC+B[/tex]
In this reaction, A is more reactive element and B is less reactive element.
As per question, when gold (IV) iodide react with bromine to give gold (IV) bromide and iodine.
The balanced chemical reaction will be:
[tex]AuI_4+2Br2\rightarrow AuBr_4+2I_2[/tex]