Final answer:
Upon evaluating each pair of expressions, it is determined that none of the options given (A, B, C, or D) represent equivalent expressions. Each expression in a pair simplifies to a different value, indicating that they are not equivalent.
Step-by-step explanation:
The question asks us to determine which pairs of expressions are equivalent. To find equivalent expressions, we need to evaluate each one and see if they yield the same result. Let's evaluate each option step by step:
- A. 75/7 and (57)5 - To evaluate, we simplify 75/7 and (57)5. Since (57)5 is a much larger number than 75/7, these expressions are not equivalent.
- B. 62/7 and (76) - To evaluate, we simplify 62/7 to get 36/7 and 76 is a much larger number, so these are not equivalent.
- C. 53/2 and (15) - To evaluate, we simplify 53/2 to get 125/2 and 15 equals 1, so these are not equivalent.
- D. (181)5 and 815/4 - To evaluate, we have (181)5 which simplifies to 185 and 815/4 which simplifies to 81 * 5/4, or 10. These expressions are not equivalent either.
After evaluating each pair, we see that none of the expressions provided are equivalent to each other.