Answer
See below.
Work Step by Step
The nth term of a geometric series can be obtained by the following formula: $a_n=a_1\cdot r^{n-1}$, where $a_1$ is the first term and $r$ is the common ratio.
Hence here: $a_1=1,r=0.1, n=11,a_{11}=1\cdot0.1^{11-1}=0.1^{10}$