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6x^{10}\times 4y\times 0
To multiply powers of the same base, add their exponents. Add 1 and 9 to get 10.
24x^{10}y\times 0
Multiply 6 and 4 to get 24.
0x^{10}y
Multiply 24 and 0 to get 0.
0
Anything times zero gives zero.