Chapter 5.10, Problem 31CCR

To determine

To find: The solution of the expression $5x{y}^{-2}$ if $x=2$ , $y=-3$ , and $z=4$ .

Answer to Problem 31CCR

The solution of the expression $5x{y}^{-2}$ for $x=2$ and $y=-3$ is $\frac{10}{9}$ .

Explanation of Solution

Given information:

The given expression is $5x{y}^{-2}$ .

Calculation:

To find the solution of the expression for $x=2$ and $y=-3$ , substitute $-3$ for $y$ and 2 for $x$ in the expression.

  $\begin{array}{c}5\cdot 2\cdot {\left(-3\right)}^{-2}=\frac{5\cdot 2}{{\left(-3\right)}^2}\\ =\frac{10}{9}\end{array}$

Therefore, thesolution of the expression $5x{y}^{-2}$ for $x=2$ and $y=-3$ is $\frac{10}{9}$ .