\(\left(2^{17}+7^2\right).\left(9^{15}-3^{15}\right).\left(2^4-4^2\right)\)
\(=\left(2^{17}+7^2\right).\left(9^{15}-3^{15}\right).\left(16-16\right)\)
\(=\left(2^{17}+7^2\right).\left(9^{15}-3^{15}\right).0\)
\(=0\)
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\(\left(7^{1997}-7^{1995}\right):\left(7^{1994}.7\right)\)
\(=\left[7^{1995}\left(7^2-1\right)\right]:7^{1995}\)
\(=7^{1995}.48:7^{1995}\)
\(=48\)
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\(\left(1^2+2^3+3^4+4^5\right).\left(1^3+2^3+3^3+4^3\right).\left(3^8-81^2\right)\)
\(=\left(1^2+2^3+3^4+4^5\right).\left(1^3+2^3+3^3+4^3\right).\left(6561-6561\right)\)
\(=\left(1^2+2^3+3^4+4^5\right).\left(1^3+2^3+3^3+4^3\right).0\)
\(=0\)
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\(\left(2^8+8^3\right):\left(2^5.2^3\right)\)
\(=\left[2^8+\left(2^3\right)^3\right]:2^8\)
\(=\left(2^8+2^9\right):2^8\)
\(=2^8.\left(1+2\right):2^8\)
\(=2^8.3:2^8\)
\(=3\)
\((2^{17}+17^{2}).(9^{15}-3^{15}).(2^{4}-4^{2})\)
\(=(2^{17}+17^{2}).(9^{15}-3^{15}).(16-16)\)
\(=(2^{17}+17^{2}).(9^{15}-3^{15}).0\)
\(=0\)
\((7^{1997}-7^{1995}):(7^{1994}.7)\)
\(=(7^{1997}-7^{1995}):7^{1995}\)
\(=7^{1997}:7^{1995}-7^{1995}:7^{1995}\)
\(=7^{2}-1=49-1=48\)
\(1^{2}+2^{3}+3^{4}+4^{5}).(1^{3}+2^{3}+3^{3}+4^{3}).(3^{8}-81^{2})\)
\(=(1^{2}+2^{3}+3^{4}+4^{5}).(1^{3}+2^{3}+3^{3}+4^{3}).(6561-6561)\)
\(=(1^{2}+2^{3}+3^{4}+4^{5}).(1^{3}+2^{3}+3^{3}+4^{3}).0\)
\(=0\)
\((2^{8}+8^{3}):(2^{5}.2^{3})\)
\(=[2^{8}+(2^{3})^{3}]:2^{8}\)
\(=(2^{8}+2^{9}):2^{8}\)
\(=2^{8}:2^{8}+2^{9}:2^{8}\)
\(=1+2=3\)
