Respuesta :

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;

[tex]a^{-x}=\frac{1}{a^x}[/tex]

Thus, applying this law to the question;

[tex]a^{-2}=\frac{1}{a^2}[/tex]

Given:

a = 6

Substituting a = 6 into the expression, we have;

[tex]\frac{1}{a^2}=\frac{1}{6^2}[/tex]

Therefore, the correct answer is;

[tex]\frac{1}{6^2}[/tex]