To simplify this expression, we first need to expand each term:
(2a^2)^3 = 2^3 a^(23) = 8a^6(3b)^2 = 3^2 b^2 = 9b^2(6a^3b)^2 = 6^2 a^(32) b^2 = 36a^6b^2
Now we substitute these back into the original expression:
8a^6 * 9b^2 / 36a^6b^2
Now we can simplify by dividing like terms:
(8 * 9) / 36 = 72 / 36 = 2
a^(6-6) * b^(2-2) = 1
Therefore, the simplified expression is 2.
To simplify this expression, we first need to expand each term:
(2a^2)^3 = 2^3 a^(23) = 8a^6
(3b)^2 = 3^2 b^2 = 9b^2
(6a^3b)^2 = 6^2 a^(32) b^2 = 36a^6b^2
Now we substitute these back into the original expression:
8a^6 * 9b^2 / 36a^6b^2
Now we can simplify by dividing like terms:
(8 * 9) / 36 = 72 / 36 = 2
a^(6-6) * b^(2-2) = 1
Therefore, the simplified expression is 2.