(4а^5)^4*(4а^3)^3/(16а^9)^3

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To simplify this expression, we will first calculate the exponents of each term:

(4a^5)^4 = 4^4 (a^5)^4 = 256 a^20
(4a^3)^3 = 4^3 (a^3)^3 = 64 a^9
(16a^9)^3 = 16^3 (a^9)^3 = 4096 a^27

Now we substitute these values back into the expression:

(256 a^20) (64 a^9) / (4096 a^27)
= (256 64 1) (a^20 a^9) / (4096 a^27)
= 16384 a^29 / 4096 a^27
= 4 a^2

Therefore, the simplified expression is 4 * a^2.