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Evaluate
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Differentiate w.r.t. x
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\left(-4\right)^{1}x^{5}y^{-5}\times 2^{1}x^{-2}y^{3}
Use the rules of exponents to simplify the expression.
\left(-4\right)^{1}\times 2^{1}x^{5}x^{-2}y^{-5}y^{3}
Use the Commutative Property of Multiplication.
\left(-4\right)^{1}\times 2^{1}x^{5-2}y^{-5+3}
To multiply powers of the same base, add their exponents.
\left(-4\right)^{1}\times 2^{1}x^{3}y^{-5+3}
Add the exponents 5 and -2.
\left(-4\right)^{1}\times 2^{1}x^{3}y^{-2}
Add the exponents -5 and 3.
-8x^{3}\times \frac{1}{y^{2}}
Multiply -4 times 2.