Solution:
The question given is a negative exponent.
To solve this, we apply the law of indices for negative exponents.
Negative exponent law is indicated below;
![a^(-x)=(1)/(a^x)](https://img.qammunity.org/2023/formulas/mathematics/college/5ink0pzh6yvlwzkqlnkeoxxvu1phms93al.png)
Thus, applying this law to the question;
![a^(-2)=(1)/(a^2)](https://img.qammunity.org/2023/formulas/mathematics/college/551ut8uz08op57bwkyooe6rxc031tp0pc1.png)
Given:
a = 6
Substituting a = 6 into the expression, we have;
![(1)/(a^2)=(1)/(6^2)](https://img.qammunity.org/2023/formulas/mathematics/college/gpbh90gcsmoev2g8j953srmcjohx0h16fv.png)
Therefore, the correct answer is;
![(1)/(6^2)](https://img.qammunity.org/2023/formulas/mathematics/college/zeqbnsh3ocypod0lnlposzrl1g5obrzgim.png)