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The power of a product is equal to the product of it's factors raised to the same power
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$\frac{d}{db}\left(\frac{ab^2a^{6}b^{6}}{a^{6}b^{6}}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (ab^2(a^2b^2)^3)/((a^3b^3)^2). The power of a product is equal to the product of it's factors raised to the same power. When multiplying exponents with same base we can add the exponents. When multiplying exponents with same base you can add the exponents: b^{8}a\cdot a^{6}. Simplify the fraction \frac{a^{7}b^{8}}{a^{6}b^{6}} by a.