What element has the electron configuration $1s^{2}2s^{2}2p^{6}3s^{2}3p^2$?

The electron configuration $1s^{2}2s^{2}2p^{6}3s^{2}3p^2$ is the element Silicon.
The key to deciphering this is to look at the last bit of information of the electron configuration $3p^2$.
The ' 3 ' informs us that the element is in the 3rd Energy Level or row of the periodic table. The ' $p$ ' tells us that the element is found in the p-block which are all of the Groups to the right of the transition metals, columns 13-18. The superscript '2' tells us that the element is found in the 2 nd column of the p-block Group 14.