Answer: OPTION D
Step-by-step explanation:
We need to remember that, according to the Negative exponents rule:
[tex]a^{-n}=\frac{1}{a^n}[/tex]
Then, we can rewrite the expression in the following form:
[tex](5^{-6})^2=(\frac{1}{5^6})^2[/tex]
We also need to remember the Power of a power property, which states that:
[tex](a^n)^m=a^{(nm)}[/tex]
Then, applying this property, we get:
[tex]\frac{1}{5^{(6*2)}}=\frac{1}{5^{12}}[/tex]
This matches with the Option D
