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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 simplification of algebraic expressions 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 simplification of algebraic expressions problems step by step online. Simplify the expression ((-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}.