Simplify each expression.
3. 4^4/4^6 (1 point)
-16
16
1/16
-1/16
1/16
To simplify the expression 4^4 / 4^6, we can use the rule that says when you divide two numbers with the same base, you subtract the exponents.
So, 4^4 / 4^6 becomes 4^(4-6).
Simplifying further, we get 4^(-2).
Now, another rule states that any number raised to the power of -n is equal to 1 divided by that number raised to the power of n.
Therefore, 4^(-2) becomes 1 / 4^2.
And finally, 4^2 is equal to 16, so the simplified expression is 1 / 16.
Therefore, the answer is 1/16.