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Evaluate
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Differentiate w.r.t. a
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2^{1}a^{3}b^{2}\times 3^{1}a^{1}b^{5}
Use the rules of exponents to simplify the expression.
2^{1}\times 3^{1}a^{3}a^{1}b^{2}b^{5}
Use the Commutative Property of Multiplication.
2^{1}\times 3^{1}a^{3+1}b^{2+5}
To multiply powers of the same base, add their exponents.
2^{1}\times 3^{1}a^{4}b^{2+5}
Add the exponents 3 and 1.
2^{1}\times 3^{1}a^{4}b^{7}
Add the exponents 2 and 5.
6a^{4}b^{7}
Multiply 2 times 3.