Understanding the Problem
The question asks for the multiplicative inverse of the expression \(7 - 2\). To find the multiplicative inverse, we first need to simplify the expression.
Step 1: Simplify the Expression
- Calculate \(7 - 2\):
- \(7 - 2 = 5\)
Now, we have the simplified expression as 5.
Step 2: Find the Multiplicative Inverse
- The multiplicative inverse of a number \(x\) is defined as \(\frac{1}{x}\).
- For the number 5, the multiplicative inverse is:
- \(\frac{1}{5}\)
Analyzing the Options
The options provided are:
- a) 72
- b) 7
- c) \(\frac{1}{72}\)
- d) \(\frac{1}{7}\)
None of these options represent the multiplicative inverse of 5, which is \(\frac{1}{5}\).
Correct Answer Evaluation
It seems there is a misunderstanding regarding the correct answer being option 'A' (72). The multiplicative inverse of 5 is not any of the choices listed, including 72.
Conclusion
To clarify:
- The multiplicative inverse of \(7 - 2\) (which equals 5) is \(\frac{1}{5}\).
- The correct answer should be based on the definition of the multiplicative inverse, which does not match any of the provided options.
Thus, the analysis shows the correct answer is not option 'A', but rather \(\frac{1}{5}\), which is not listed among the options.