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The power of a product is equal to the product of it's factors raised to the same power
Learn how to solve product rule of differentiation problems step by step online.
$\frac{x^{9}\left(-5y^2\right)^3x^2y^{10}}{\left(-5x^{-1}y\right)^{-1}}$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule ((-5x^3y^2)^3(xy^5)^2)/((-5x^(-1)y)^(-1)). 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. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Divide fractions \frac{x^{11}\left(-5y^2\right)^3y^{10}}{\frac{1}{\frac{-5}{x}y}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}.