Final answer:
To evaluate the expression x³/² raised to the power of 4/5, we apply the power rule of exponents and simplify the expression to x^(6/5).
Step-by-step explanation:
To evaluate the expression x³/² raised to the power of 4/5, we need to apply the power rule of exponents. The power rule states that when a power is raised to another power, we multiply the exponents. In this case, we have (x³/²)^(4/5), so we multiply the exponents: 3/2 * 4/5 = 12/10 = 6/5. Therefore, the expression simplifies to x^(6/5).