Let's simplify the expression step by step:
(2⁴ · 2⁵)⁶ = (2⁹)⁶ = 2^54(2 · 2⁹)⁴ = (2¹⁰)⁴ = 2^40
Therefore, (2⁴ · 2⁵)⁶ / (2 · 2⁹)⁴ = 2^54 / 2^40 = 2^14.
So, the simplified expression is 2^14.
Let's simplify the expression step by step:
(2⁴ · 2⁵)⁶ = (2⁹)⁶ = 2^54
(2 · 2⁹)⁴ = (2¹⁰)⁴ = 2^40
Therefore, (2⁴ · 2⁵)⁶ / (2 · 2⁹)⁴ = 2^54 / 2^40 = 2^14.
So, the simplified expression is 2^14.