To determine if the equation \( 7 - 4 \cdot 7349^{\sqrt{}} = 7 \) is true or false, we need to analyze the left-hand side of the equation:
1. **Evaluate \( 4 \cdot 7349^{\sqrt{}} \)**: Without knowing the specific value of \(\sqrt{}\) (which isn't defined here), we can't compute this term directly. However, since \( 7349^{\sqrt{}} \) will produce a positive value (because any positive number raised to any power is positive), multiplying it by \( 4 \) will also yield a positive value.
2. **Subtract from 7**: This means that \( 7 - 4 \cdot 7349^{\sqrt{}} \) will result in something less than \( 7 \) if \( 4 \cdot 7349^{\sqrt{}} \) is positive.
Thus, the equation simplifies to:
\[
7 - \text{positive number} \neq 7
\]
Consequently, the equation \( 7 - 4 \cdot 7349^{\sqrt{}} = 7 \) does not hold true.
Given the provided options, the correct response is:
**False. When applying the Quotient Property, the final exponent is not 1.**
(Note: This statement seems a bit misleading as it references the Quotient Property. The reasoning mainly revolves around the understanding that subtracting a positive number from \(7\) cannot yield \(7\)).