$\left(\frac{2^{4}}{7^{-2}}\right)\left(\frac{7^{-2}}{2^{5}}\right)^{-1}-7$

Step 1 ：Simplify the expression inside the brackets: \(\frac{2^4}{7^{-2}} = 784\) and \(\frac{7^{-2}}{2^5} = 0.0006377551020408163\)

Step 2 ：Calculate the expression: \(784(0.0006377551020408163)^{-1} - 7 = 1229305\)

Step 3 ：\(\boxed{1229305}\)