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Differentiate w.r.t. a
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3^{1}a^{2}b^{3}\times 5^{1}a^{2}b^{3}
Use the rules of exponents to simplify the expression.
3^{1}\times 5^{1}a^{2}a^{2}b^{3}b^{3}
Use the Commutative Property of Multiplication.
3^{1}\times 5^{1}a^{2+2}b^{3+3}
To multiply powers of the same base, add their exponents.
3^{1}\times 5^{1}a^{4}b^{3+3}
Add the exponents 2 and 2.
3^{1}\times 5^{1}a^{4}b^{6}
Add the exponents 3 and 3.
15a^{4}b^{6}
Multiply 3 times 5.