Simplify:
(3a^2 b)^2 (ab)^3
A. 6a^7 b^5
B. 9a^12 b^6
C. 9a^7 b^5
D. 6a^12 b^6
To simplify, you need to multiply the exponents of the same variables and then multiply the numerical coefficients:
(3a^2 b)^2 (ab)^3 = 9a^4 b^2 * a^3 b^3
Now, you can combine the exponents of the same variables:
9a^4 b^2 * a^3 b^3 = 9a^(4+3) b^(2+3) = 9a^7 b^5
So, the simplified expression is 9a^7 b^5.
The correct answer is C. 9a^7 b^5.