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

To find the total resistance $R_{th}$, we need to calculate the equivalent resistance of the given resistors in parallel and series combinations.<br /><br />The given expression is:<br />$R_{th} = 10k\Omega // 2.7k\Omega + 4.7k\Omega / 1k\Omega$<br /><br />First, let's calculate the equivalent resistance of the parallel combination:<br />$R_{parallel} = \frac{1}{\frac{1}{10k\Omega} + \frac{1}{2.7k\Omega}}$<br /><br />Next, let's calculate the equivalent resistance of the series combination:<br />$R_{series} = 4.7k\Omega + 1k\Omega$<br /><br />Finally, we can find the total resistance $R_{th}$ by adding the equivalent resistances of the parallel and series combinations:<br />$R_{th} = R_{parallel} + R_{series}$<br /><br />After performing the calculations, we find that the total resistance $R_{th}$ is approximately 5.5 k$\Omega$.