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Evaluate
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Differentiate w.r.t. x
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\frac{-32x^{4}y^{5}}{3}\times \frac{9x^{5}y^{3}}{8}
Multiply -16 and 2 to get -32.
\frac{-32x^{4}y^{5}\times 9x^{5}y^{3}}{3\times 8}
Multiply \frac{-32x^{4}y^{5}}{3} times \frac{9x^{5}y^{3}}{8} by multiplying numerator times numerator and denominator times denominator.
-4\times 3y^{3}x^{4}x^{5}y^{5}
Cancel out 3\times 8 in both numerator and denominator.
-4\times 3y^{8}x^{4}x^{5}
To multiply powers of the same base, add their exponents. Add 3 and 5 to get 8.
-4\times 3y^{8}x^{9}
To multiply powers of the same base, add their exponents. Add 4 and 5 to get 9.
-12y^{8}x^{9}
Multiply -4 and 3 to get -12.