Evaluate \( \left(\frac{3.5^{7}}{3.5^{6}}\right)^{2} \)

To evaluate \( \left(\frac{3.5^{7}}{3.5^{6}}\right)^{2} \), we can start by simplifying the expression inside the parentheses. Using the properties of exponents, we know that: \[ \frac{a^m}{a^n} = a^{m-n} \] Applying this to our expression: \[ \frac{3.5^7}{3.5^6} = 3.5^{7-6} = 3.5^1 = 3.5 \] Now, substituting this back into the original expression gives us: \[ (3.5)^{2} \] Calculating \( 3.5^2 \): \[ 3.5 \times 3.5 = 12.25 \] Thus, the final result is: \[ \left(\frac{3.5^{7}}{3.5^{6}}\right)^{2} = 12.25 \]