Step 1 :The question is asking for the fourth root of 16 and the cube root of 27.
Step 2 :The fourth root of a number is the number that would have to be multiplied by itself 4 times to get the original number. Similarly, the cube root of a number is the number that would have to be multiplied by itself 3 times to get the original number.
Step 3 :So, the fourth root of 16 is \(\boxed{2}\) and the cube root of 27 is \(\boxed{3}\).