Final answer:
The expression 64⅓ simplifies to 4, and 16¾ simplifies to 8. Adding them together, the final answer is 12.
Step-by-step explanation:
The student asked to use radical notation to rewrite the expression and to simplify it if possible. The expressions provided were 64⅓ and 16¾. In radical notation, these would be written as the cube root of 64 and the fourth root of 16 raised to the power of 3 and 4, respectively.
To simplify 64⅓, we find that the cube root of 64 is 4, because 4³ = 4*4*4 = 64. Therefore, 64⅓ simplifies to 4.
To simplify 16¾, we find that the fourth root of 16 is 2, because 2⁴ = 2*2*2*2 = 16. Therefore, 16¾ simplifies to 2³, which equals to 8.
Finally, the expression is simplified to 4 + 8, which results in 12.