\(\dfrac{6^{15}.9^{10}}{3^{34}.2^{13}}=\dfrac{3^{15}.2^{15}.\left(3^2\right)^{10}}{3^{34}.2^{13}}=\dfrac{3^{15}.2^{15}.3^{20}}{3^{34}.2^{13}}=3.2^2=3.4=12\)
\(\dfrac{6^{15}.9^{10}}{3^{34}.2^{13}}=\dfrac{2^{15}.3^{15}.3^{20}}{3^{34}.2^{13}}=\dfrac{2^{15}.3^{35}}{3^{34}.2^{13}}=2^2.3=4.3=12\)