Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
[tex] \frac{ {4}^{2} }{ {4}^{5} } [/tex]
Applying law of indices
[tex] = {4}^{2 - 5} = {4}^{ - 3} [/tex]
Law of indices
=
[tex] \frac{1}{ {4}^{3} } = \frac{1}{64} [/tex]