Ta có: \(A=\dfrac{2^3\cdot5\cdot7\cdot5^2\cdot7^3}{\left(2\cdot5\cdot7^2\right)^2}\)
\(=\dfrac{2^3\cdot5^3\cdot7^4}{2^2\cdot5^2\cdot7^4}=\dfrac{10\cdot2^2\cdot5^2}{2^2\cdot5^2}\)
=10
\(A=\dfrac{(2^3.5.7).(5^2.7^3)}{(2.5.7^2)^2}\)
\(=\dfrac{2^3.5^3.7^4}{2^2.5^2.7^4}\)
\(=2.5\)
\(=10\)
A=2^3.5.7.5^2.7^3/(2.5.7^2)^2
A=2^3.(5.5^2).(7.7^3)/2^2.5^2.7^4
A=2^3.5^3.7^4/2^2.5^2.7^4
A=(2^3/2^2).(5^3/5^2).(7^4/7^4)
A=2.5.1
A=10
Vậy A=10