Final answer:
The expression c⁴/³ divided by c²/³ can be simplified as c^(4/3) * c^(-2/3), which results in c^(4/3 - 2/3), and further simplifies to c^(2/3).
Step-by-step explanation:
To simplify the expression c⁴/³ divided by c²/³, we apply the rule of exponents for division, which states that when dividing terms with the same base, we subtract their exponents. In this case, c^(4/3) divided by c^(2/3) results in c^(4/3 - 2/3), which simplifies to c^(2/3).
In simpler terms, dividing two expressions with the same base (c) and different exponents involves subtracting the exponents. Here, the subtraction of exponents in the numerator and denominator gives the final result of c^(2/3).
Therefore, the final simplified expression for c⁴/³ divided by c²/³ is c^(2/3), indicating that the resulting value is equivalent to c raised to the power of 2/3. This process demonstrates how to simplify expressions involving exponents and division by subtracting their powers.