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0\times 3a^{4}b^{4}\times \frac{5}{3}\times 2\left(-b\right)
To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.
0a^{4}b^{4}\times \frac{5}{3}\times 2\left(-b\right)
Multiply 0 and 3 to get 0.
0a^{4}b^{4}\times 2\left(-b\right)
Multiply 0 and \frac{5}{3} to get 0.
0a^{4}b^{4}\left(-b\right)
Multiply 0 and 2 to get 0.
0
Anything times zero gives zero.