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Evaluate
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Differentiate w.r.t. w
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\frac{49^{1}v^{2}w^{3}}{7^{1}v^{1}w^{2}}
Use the rules of exponents to simplify the expression.
\frac{49^{1}}{7^{1}}v^{2-1}w^{3-2}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{49^{1}}{7^{1}}v^{1}w^{3-2}
Subtract 1 from 2.
\frac{49^{1}}{7^{1}}vw^{1}
Subtract 2 from 3.
7vw
Divide 49 by 7.