\(5^{12}\cdot7-5^{11}\cdot10\)
\(=5^{12}\cdot7-5^{11}\cdot\left(5\cdot2\right)\)
\(=5^{12}\cdot7-5^{11}\cdot5\cdot2\)
\(=5^{12}\cdot7-5^{11}\cdot5^1\cdot2\)
\(=5^{12}\cdot7-5^{11+1}\cdot2\)
\(=5^{12}\cdot7-5^{12}\cdot2\)
\(=5^{12}\cdot\left(7-2\right)\)
\(=5^{12}\cdot5=5^{12}\cdot5^1=5^{12+1}=5^{13}\)
Chúc bạn học tốt!