\(A=\dfrac{4^2.25^2+32.125}{2^3.5^2}\)
\(A=\dfrac{\left(2^2\right)^2.\left(5^2\right)^2+2^5.5^3}{2^3.5^2}\)
\(A=\dfrac{2^4.5^4+2^5.5^3}{2^3.5^2}\)
\(A=\dfrac{2^4.2^5+5^4.5^3}{2^3.5^2}\)
\(A=\dfrac{2^{4+5}+5^{4+3}}{2^3.5^2}\)
\(A=\dfrac{2^9.5^7}{2^3.5^2}=2^6.5^5\)