\(5\cdot2^2+7^{11}:7^9-1^8\)
\(=20+2^2-1\)
\(=20+4-1\)
\(=23\)
\(400:\left\{5\cdot\left[360-\left(290+2\cdot5^2\right)\right]\right\}\)
\(=400:\left\{5\cdot\left[360-\left(290+50\right)\right]\right\}\)
\(=400:\left(5\cdot\left[360-340\right]\right)\)
\(=400:\left(5\cdot20\right)\)
\(=400:100\)
\(=4\)