R_(th)=10kOmega //2.7kOmega +4.7kOmega /1kOmega =

To find the total resistance , we need to calculate the equivalent resistance of the given resistors in parallel and series combinations.The given expression is: First, let's calculate the equivalent resistance of the parallel combination: Next, let's calculate the equivalent resistance of the series combination: Finally, we can find the total resistance by adding the equivalent resistances of the parallel and series combinations: After performing the calculations, we find that the total resistance is approximately 5.5 k .