Final answer:
The equivalent expression to (3/2)8 is 38 / 28, which is option A. This comes from applying the exponent to both the numerator and the denominator of the fraction independently.
Step-by-step explanation:
The student is tasked with identifying an expression equivalent to (3/2)8. When raising a fraction to an exponent, both the numerator and denominator are raised to that exponent independently. Therefore, the correct equivalent expression is 38 / 28, which corresponds to option A.
To demonstrate this concept using exponents, let's consider an example with smaller numbers: (2/3)2 is equal to 22 / 32 or 4/9 when expanded. Hence, applying this rule to our initial expression, we can confirm that option A is indeed the equivalent expression for (3/2)8.