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Evaluate
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Differentiate w.r.t. y
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\frac{4^{1}x^{2}y^{2}}{20^{1}x^{2}y^{3}}
Use the rules of exponents to simplify the expression.
\frac{4^{1}}{20^{1}}x^{2-2}y^{2-3}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{4^{1}}{20^{1}}x^{0}y^{2-3}
Subtract 2 from 2.
\frac{4^{1}}{20^{1}}y^{2-3}
For any number a except 0, a^{0}=1.
\frac{4^{1}}{20^{1}}\times \frac{1}{y}
Subtract 3 from 2.
\frac{1}{5}\times \frac{1}{y}
Reduce the fraction \frac{4}{20} to lowest terms by extracting and canceling out 4.