1/16
1) Since the expression is:
[tex]\frac{4^2}{4^4}[/tex]2) Let's evaluate that, using exponents' properties:
[tex]\frac{4^2}{4^4}=4^{2-4}=4^{-2}=(\frac{1}{4})^2=\frac{1}{16}[/tex]So we need to repeat the base and subtract their exponents and then operate it, a negative exponent is equal to the reciprocal number raised by its positive exponent.
