Answer:
The answer is: [tex]$ \frac{\textbf{1}}{\textbf{216}} $[/tex]
Step-by-step explanation:
Rule of Exponents:
[tex]$ x^a . x^b \hspace{2mm} = \hspace{2mm} x^{a + b} $[/tex]
[tex]$ \frac{x^a}{x^b} = x^{a}.x^{-b} = x^{a - b} $[/tex]
Here, it is given:
[tex]$ \frac{6^2}{6^5} = 6^{2 - 5} $[/tex]
[tex]$ = 6^{-3} $[/tex]
[tex]$ = \frac{1}{6^3} $[/tex]
[tex]$ = \frac{\textbf{1}}{\textbf{216}} $[/tex]
Hence, the answer.
