-Do I need to FOIL the both pairs of parenthesis or multiply both pair of parenthesis by their exponents?
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
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