(3a^3 b^3 c^5)^2(2a^2 b^3 c^3)^3 =...???
Do I need to FOIL the both pairs of parenthesis or multiply both pair of parenthesis by their exponents?
1 answer

You need to raise the constants to the powers indicated, and add the exponents of terms that get multiplied together. Numbers that get raised to a power have their exponents multiplied by that power.
It has notion got do with FOIL. You use that when multiplying the sums of two numbers, like (a + b)(c + d)
For the first step, raise the terms in parentheses to the powers indicated.
(3a^3 b^3 c^5)^2 = 9 a^6 b^6 c^10
(2a^2 b^3 c^3)^3 = 8 a^6 b^9 c^9
Now multiply both of those numbers together by adding exponents of like terms. You should get 72 a^12 b^15 c^19