Final Answer:
The correct expression equivalent to 25000/(0.035/12)²¹⁶ is D. 25000/(0.035/12)²¹⁶.
Step-by-step explanation:
To simplify the given expression, we follow the order of operations, starting with the innermost parentheses and working outward. Firstly, we calculate the value inside the parentheses: 0.035/12. Next, we square the result and raise it to the power of 216. Finally, we divide 25000 by this value. Option D 25000/(0.035/12)²¹⁶ accurately represents this calculation.
Breaking down the steps, we find that 0.035/12 = 0.00291666667. Squaring this result and raising it to the power of 216 yields a very small value. Dividing 25000 by this small value results in a large final value. Option D encapsulates this entire calculation, making it the correct choice.
In summary, option D is the correct expression, and it accurately represents the calculation needed to find the value of 25000/(0.035/12)²¹⁶. The process involves careful evaluation of the expression within the parentheses, followed by exponentiation and division as outlined in the selected option.