To divide exponents, you need to use the exponent rule that states "when you divide two powers with the same base, you subtract the exponents." Now let's apply this rule to simplify the expression 4^4/4^6.
Step 1: Write down the expression: 4^4/4^6
Step 2: Apply the exponent rule by subtracting the exponents: 4^4-6
Step 3: Simplify the expression: 4^-2
So, you were correct in simplifying the expression to 4^-2. This means that the answer should be either 1/4^2 or 1/16.
Among the given answer choices, the closest match to 4^-2 or 1/16 is the option 1/16.
Therefore, the answer should be 1/16.