\(\left(7^{2003}+7^{2002}\right):\left(7^{2001}.7\right)\)
\(=\left(7^{2003}+7^{2002}\right):7^{2002}\)
\(=7^{2003}:7^{2002}+7^{2002}:7^{2002}\)
\(=7^{2003}:7^{2002}+1\)
\(=7^{2002}.7:7^{2002}.1+1\)
\(=7^{2002}.\left(7-1\right)+1\)
\(=7^{2002}.6+1\)
Ta có: \(\left(7^{2003}+7^{2002}\right):\left(7^{2001}.7\right)\)
\(\Rightarrow\left(7^{2003}+7^{2002}\right):7^{2002}\)
\(\Rightarrow7^{2002}:7^{2003}+7^{2002}:7^{2002}\)
Tự tính tiếp nha
=(7^2002*7+7^2002*1):(7^2002)
=7^2002*8:7^2002
=8