Chapter 4, Problem 12CR

To determine

To evaluate: The expression $w^4{x}^{2}yz$

Answer to Problem 12CR

After evaluating the expression the value is $-\frac{405}{16}$

Explanation of Solution

Given information:

The given values are; $w=-\frac{3}{4},y=1\text{ and }z=-5$

The expression can be evaluate as;

  $\begin{array}{l}{w}^4{x}^{2}yz={\left(-\frac{3}{4}\right)}^4\times {\text{4}}^2\times \text{1}\times -5\text{ Replace y with 1, z with }-5,\text{ w with }-\frac{3}{4}\text{ and x with 4}\text{.}\\ w^4{x}^{2}yz=\frac{81}{256}\times \text{16}\times \text{1}\times -5\text{ Evaluate power;}-{\frac{3}{4}}^4=-{\frac{3}{4}}^4\cdot -{\frac{3}{4}}^4\cdot -{\frac{3}{4}}^4\cdot -{\frac{3}{4}}^4\text{ or }\frac{81}{256}{\text{ and 4}}^2=4\cdot 4\text{ or 16}\\ w^4{x}^{2}yz=-\frac{405}{16}\end{array}$ .