### Simplify the Following Expression#### Expression:\[ \frac{x^5}{y^{11}} \cdot \frac{x^{-9}y^{14}z^7}{xy^0z^{22}} \cdot \frac{(xyz)^4}{x^{-8}} \]#### Options:1. \(\frac{x^{18}}{y^8z^9}\)2. \(\frac{x^7y^7}{z^{11}}\)3. \(x^9y^{16}z^2\)4. \(\frac{1}{x^8y^7z^4}\)#### Explanation:This problem asks you to simplify the given mathematical expression. The correct option will be the one that correctly represents the simplified form of the given expression through a process using the laws of exponents. Useful rules and steps to simplify include:1. Combine the exponents of like bases by adding or subtracting them according to the multiplication and division rules.2. Apply the power rule: \((a^m)^n = a^{mn}\).#### Graphical Representation:The image contains the same mathematical expression and four options inside circles representing different results from simplifying the given expression. Each form in the options utilizes varying coefficients and powers of \(x\), \(y\), and \(z\). Understanding the structure and methods of simplifying such expressions is vital in algebra.

Name: ### Simplify the Following Expression#### Expression:\[ \frac{x^5}{y^
Uploaded: 2024-03-20T06:46:14.000Z
Channel: Bartleby
Description: ### Simplify the Following Expression#### Expression:\[ \frac{x^5}{y^{11}} \cdot \frac{x^{-9}y^{14}z^7}{xy^0z^{22}} \cdot \frac{(xyz)^4}{x^{-8}} \]#### Options:1. \(\frac{x^{18}}{y^8z^9}\)2. \(\frac{x^7y^7}{z^{11}}\)3. \(x^9y^{16}z^2\)4. \(\frac{1}{