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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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$\frac{ab^2\left(a^2\right)^3\left(b^2\right)^3}{a^{6}b^{6}}$
Learn how to solve problems step by step online. Find the derivative using the product rule (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. . Simplify \left(a^3\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 2. Multiply 3 times 2.