Question

[sakura kinomoto]

14¹⁶ : 21³² . 35⁴⁸ /10¹⁶ . 15³² . 7⁹⁶

Answer 1

[Lê Bùi]

\(\dfrac{14^{16}}{21^{32}}.\dfrac{35^{48}}{10^{16}}.\dfrac{15^{32}}{7^{96}}\)=\(\dfrac{\left(2.7\right)^{16}.\left(5.7\right)^{48}.\left(3.5\right)^{32}}{\left(3.7\right)^{32}.\left(2.5\right)^{16}.7^{96}}\)=\(\dfrac{2^{16}.7^{16}.5^{48}.7^{48}.3^{32}.5^{32}}{3^{32}.7^{32}.2^{16}.5^{16}.7^{96}}\)

=\(\dfrac{2^{16}.3^{32}.5^{80}.7^{64}}{2^{16}.3^{32}.5^{16}.7^{128}}=\dfrac{5^{64}}{7^{64}}\)