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\(\frac{\left(-2\right)^{18}.8^{15}.16^4}{32^{16}}\)
\(=\frac{2^{18}.2^{45}.2^{16}}{2^{80}}\)
\(=\frac{2^{79}}{2^{80}}=\frac{1}{2}\)
A=\(\frac{14^{16}.21^{32}.35^{48}}{10^{16}.15^{32}.7^{96}}\)= \(\frac{\left(2.7\right)^{16}.\left(3.7\right)^{32}.\left(5.7\right)^{48}}{\left(2.5\right)^{16}.\left(3.5\right)^{32}.7^{96}}\)= \(\frac{2^{16}.7^{16}.3^{32}.7^{32}.5^{48}.7^{48}}{2^{16}.5^{16}.3^{32}.5^{32}.7^{96}}\)= \(\frac{2^{16}.7^{96}.3^{32}.5^{48}}{2^{16}.5^{48}.3^{32}.7^{96}}\)=1
\(\frac{14^{16}.21^{32}.35^{48}}{10^{16}.15^{32}.7^{96}}=\frac{2^{16}.7^{16}.3^{32}.7^{32}.5^{48}.7^{48}}{2^{16}.5^{16}.3^{32}.5^{32}.7^{96}}\)
\(=\frac{2^{16}.\left(7^{16}.7^{32}.7^{48}\right).5^{48}.3^{32}}{2^{16}\left(5^{16}.5^{32}\right).3^{32}.7^{96}}=\frac{2^{16}.7^{96}.5^{48}.3^{32}}{2^{16}.5^{48}.3^{32}.7^{96}}\)=1
\(=\frac{3^{30}.2^{24}}{2^{21}.3^{32}}=\frac{2^2}{3^2}=\frac{4}{9}\)
\(\dfrac{49^{16}\cdot4^{21}}{8^{16}\cdot7^{32}}=\dfrac{7^{32}\cdot2^{42}}{2^{48}\cdot7^{32}}=\dfrac{1}{2^6}=\dfrac{1}{64}\)