Step-by-step explanation:
recall that negative powers mean division and if there are negative powers we can "flip" the numbers up or down depending on whether they're a numerator or a denominator, and we can express the sum as:
4(216)^{2/3} + 256^{3/4} + 2(243)^{1/5}.
next, we express these as powers and then simply using exponent laws.
4(6^3)^{2/3} + (4^4)^{3/4} + 2(3^5)^{1/5}
this becomes:
4(6^2) + 4^3 + 2(3) = 144 + 64 + 6 = 214