Answer:
64
Step-by-step explanation:
2x - 4y = 3
2x = 4y + 3
x = 2y + 1.5
[tex] \dfrac{16^x}{256^y} = [/tex]
[tex] = \dfrac{16^{2y + 1.5}}{256^y} [/tex]
[tex] = \dfrac{16^{2y + 1.5}}{16^{2y}} [/tex]
[tex] = 16^{2y + 1.5 - 2y} [/tex]
[tex] = 16^\frac{3}{2} [/tex]
[tex] = 4^3 [/tex]
[tex] = 64 [/tex]
