Simplify the expression $\frac{\left(x^{\left(2n-3\right)}y^{\left(n-2\right)}\right)^3}{x^{\left(n-8\right)}y^{\left(3n-7\right)}}$

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$\frac{\left(x^{\left(2n-3\right)}\right)^3\left(y^{\left(n-2\right)}\right)^3}{x^{\left(n-8\right)}y^{\left(3n-7\right)}}$

Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression ((x^(2n-3)y^(n-2))^3)/(x^(n-8)y^(3n-7)). The power of a product is equal to the product of it's factors raised to the same power. Simplify \left(x^{\left(2n-3\right)}\right)^3 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2n-3 and n equals 3. Simplify \left(y^{\left(n-2\right)}\right)^3 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals n-2 and n equals 3.