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Differentiate w.r.t. N
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\frac{N^{-10}M^{5}}{N^{-3}}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{M^{5}}{N^{7}}
To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.