Simplify the expression shown below: (a^3b^12c^2) ^2 (a^5c^2) ^3 (b^5c^4) ^0

= a^21b^24c^10

use the product rules for each set of () then multiply them together. when multiplying variables with exponents you just add them together like for a^3 * a^5 = a^8. (a^3 b^12 c^2) ^2 = (a^6 b^24 c^4)