Final answer:
The expression (7² + 4³)(2⁵) equals 3616, which does not match any of the provided answer options. This might indicate an error in the question or answer choices.
Step-by-step explanation:
To calculate the expression (7² + 4³)(2⁵), we need to evaluate each part separately and then multiply the results. First, calculate 7², which is 7 x 7 = 49. Next, calculate 4³, which is 4 x 4 x 4 = 64. Now, add these two results together: 49 + 64 = 113. Then calculate 2⁵, which is 2 x 2 x 2 x 2 x 2 = 32. Finally, multiply 113 by 32 to get the final answer: 113 x 32 = 3616.
Therefore, none of the given options a) (65)/(32) b) (71)/(32) c) (57)/(32) d) (49)/(32) are correct. The correct answer is not listed in the options provided. If you encounter a situation like this on a test, it's important to double-check your work, and if you're still confident in your answer, you may need to talk to your teacher about the possibility of an error in the question or answer choices.