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2\times \left(0x^{3}y^{4}\right)^{2}\times 0\times 2x^{4}y
Multiply 0 and 3 to get 0.
2\times 0^{2}\times 0\times 2x^{4}y
Anything times zero gives zero.
2\times 0\times 0\times 2x^{4}y
Calculate 0 to the power of 2 and get 0.
0\times 0\times 2x^{4}y
Multiply 2 and 0 to get 0.
0\times 2x^{4}y
Multiply 0 and 0 to get 0.
0x^{4}y
Multiply 0 and 2 to get 0.
0
Anything times zero gives zero.