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Evaluate
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Differentiate w.r.t. a
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\frac{a^{5}a^{4}}{a^{8}}
To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.
\frac{a^{9}}{a^{8}}
To multiply powers of the same base, add their exponents. Add 5 and 4 to get 9.
a^{1}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 8 from 9 to get 1.
a
Calculate a to the power of 1 and get a.
\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{2}a^{4}}{1}a^{3-8})
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{\mathrm{d}}{\mathrm{d}a}(a^{6}a^{-5})
Do the arithmetic.
-5a^{6}a^{-5-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.
\left(-5a^{6}\right)a^{-6}
Do the arithmetic.