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.
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.