In a mathematical operation power of n is replaced by power of 1/n. Now based on the operation what will be the value of 42

1. Break Down the Problem

We need to replace the operation of raising a number to the power of $n$ with raising it to the power of $\frac{1}{n}$. Here, we will interpret the operation as finding the $n$-th root of the number.

2. Relevant Concepts

The power operation $a^n$ indicates raising $a$ to the power of $n$. However, we need to use the transformation: $a^n \rightarrow a^{\frac{1}{n}} = \sqrt[n]{a}$ In this case, we are looking for $\sqrt{42}$ since $n = 2$.

3. Analysis and Detail

To find $\sqrt{42}$:

1. We can express this as: $\sqrt{42} = 42^{\frac{1}{2}}$

2. We will calculate $\sqrt{42}$ using a calculator or approximation methods.

4. Verify and Summarize

The square root of 42 is approximately: $\sqrt{42} \approx 6.48$

Final Answer

The value of 42 under the described operation is approximately $6.48$.