Chapter 6.1, Problem 5E

To determine

To evaluate the expression

Answer to Problem 5E

The solution of the expression for $x=-2$ is $\frac{8}{9}$ and for $x=3$ is $216$

Explanation of Solution

Given information:

The expression is $8\cdot 3^x$ where $x=-2\text{ and }x=3$

Calculation:

The value of expression for $x=-2$ is:

  $\begin{array}{l}8\cdot 3^x\\ 8\cdot 3^{-2}\\ \frac{8}{3^2}\\ \frac{8}{9}\end{array}$

The value of expression for $x=3$ is:

  $\begin{array}{l}8\cdot 3^x\\ 8\cdot 3^3\\ 8\cdot 27\\ 216\end{array}$

Hence, the solution of the expression for $x=-2$ is $\frac{8}{9}$ and for $x=3$ is $216$ .