Semiconductors have a conductivity range of `10^(-6)` to `10^(n)" ohm"^(-1)m^(-1)`. What is the value of n here?

Answer

To solve the problem, we need to determine the value of \( n \) in the conductivity range of semiconductors given as \( 10^{-6} \) to \( 10^{n} \) ohm\(^{-1}\)m\(^{-1}\).

### Step-by-Step Solution:

1. **Understand the conductivity range of semiconductors**:
- Semiconductors have a conductivity that lies between conductors (which have high conductivity) and insulators (which have low conductivity).
- The typical conductivity range for semiconductors is from \( 10^{-6} \) ohm\(^{-1}\)m\(^{-1}\) to \( 10^{-4} \) ohm\(^{-1}\)m\(^{-1}\).

2. **Set up the inequality**:
- From the problem, we know that the conductivity range is \( 10^{-6} \) to \( 10^{n} \).
- We can set up the inequality:
\[ 10^{-6} \leq 10^{n} \leq 10^{-4} \]

3. **Compare the exponents**:
- Since the bases (10) are the same, we can compare the exponents directly.
- From \( 10^{-6} \leq 10^{n} \), we have:
\[ -6 \leq n \]
- From \( 10^{n} \leq 10^{-4} \), we have:
\[ n \leq -4 \]

4. **Combine the inequalities**:
- Combining the two inequalities gives us:
\[ -6 \leq n \leq -4 \]
- The only integer value that satisfies this inequality is \( n = -4 \).

5. **Conclusion**:
- Therefore, the value of \( n \) is \( -4 \).

### Final Answer:
The value of \( n \) is \( -4 \).

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