Question

Answer 1

\(=\dfrac{3^8\cdot2^{10}\cdot5^5-3^9\cdot5^5\cdot2^9}{2^8\cdot3^8\cdot2^4\cdot5^4-3^8\cdot2^9\cdot5^4}\)

\(=\dfrac{3^8\cdot2^9\cdot5^5\left(2-3\right)}{2^{12}\cdot3^8\cdot5^4-3^8\cdot2^9\cdot5^4}\)

\(=\dfrac{3^8\cdot2^9\cdot5^5\cdot\left(-1\right)}{2^9\cdot3^8\cdot5^4\cdot\left(2^3-1\right)}=\dfrac{5\cdot-1}{7}=\dfrac{-5}{7}\)