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Differentiate w.r.t. a
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\frac{a\times 10^{10}\times 10^{-2}\times 10\times 10^{-2}}{3^{2}}
To multiply powers of the same base, add their exponents. Add 9 and 1 to get 10.
\frac{a\times 10^{8}\times 10\times 10^{-2}}{3^{2}}
To multiply powers of the same base, add their exponents. Add 10 and -2 to get 8.
\frac{a\times 10^{9}\times 10^{-2}}{3^{2}}
To multiply powers of the same base, add their exponents. Add 8 and 1 to get 9.
\frac{a\times 10^{7}}{3^{2}}
To multiply powers of the same base, add their exponents. Add 9 and -2 to get 7.
\frac{a\times 10000000}{3^{2}}
Calculate 10 to the power of 7 and get 10000000.
\frac{a\times 10000000}{9}
Calculate 3 to the power of 2 and get 9.