Chapter 7.2, Problem 1AGP

To determine

To simplify: the given expression.

Answer to Problem 1AGP

The simplified value of the given expression is $y^3$ .

Explanation of Solution

Given information:

An expression is given as

  $\frac{x^2{y}^4}{x^{2}y}$

Calculation:

Consider the given expression.

  $\frac{x^2{y}^4}{x^{2}y}$

Simplify the above expression as shown:

  $\begin{array}{c}\frac{x^2{y}^4}{x^{2}y}=x^{2-2}{y}^{4-1}\left[\frac{a^m}{a^n}=a^{m-n}\right]\\ =x^0{y}^3\\ =1\times y^3\\ =y^3\end{array}$

Hence, the simplified value is $y^3$ .