Answer:
27
Step-by-step explanation:
Given the expression
[tex]\left(3^{-6}\times 3^{3}\right)^{-1}\\[/tex]
According to law of indices, this can be written as;
[tex]\left(3^{-6+3})^{-1}\\\\= (3^{-3})^{-1}\\\\= 3^{-3*-1}\\\\= 3^3\\\\= 27[/tex]
Hence the required answer is 27