Answer:
The correct answer is A.
Step-by-step explanation:
You do not need to perform any operations to derive the correct answer from the choices provided. As you can see from the choices, the 3/4th power of 81 will turn out to be 27 (). The 3/4th power of d to the power of 24 is d to the power of 18 (
).
With that being said, the most important thing to take note of is the <u><em>negative</em></u><em> </em><u><em>symbol</em></u> of the power. A negative power turns a value into its reciprocal. In this case, both the 81 and the d to the power of 24 will both go into the denominator (since the two are encompassed in a set of parentheses together) — you apply what was previously mentioned regarding what the power of 3/4 will do to 81 times d to the power of 24 — and your answer is choice A!