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0^{2}\times \left(3xy^{5}\right)^{2}
Multiply 0 and 2 to get 0.
0\times \left(3xy^{5}\right)^{2}
Calculate 0 to the power of 2 and get 0.
0\times 3^{2}x^{2}\left(y^{5}\right)^{2}
Expand \left(3xy^{5}\right)^{2}.
0\times 3^{2}x^{2}y^{10}
To raise a power to another power, multiply the exponents. Multiply 5 and 2 to get 10.
0\times 9x^{2}y^{10}
Calculate 3 to the power of 2 and get 9.
0x^{2}y^{10}
Multiply 0 and 9 to get 0.
0
Anything times zero gives zero.