Chapter 9.1, Problem 6QR

To determine

To Calculate: The value of a given algebraic expression for the given values of the variables.

Answer to Problem 6QR

The value of the expression is $-4.5$ .

Explanation of Solution

Given Information: The expression is $a{r}^{n-1}$ and the values of $a,r,n$ are $-2,1.5,3$ respectively.

Method: Put the given values of variables in the given algebraic expression and then evaluate it.

Calculation: Put the values of the variables in the expression to get

  $a{r}^{n-1}=-2\times {1.5}^{3-1}$

  $=-2\times {1.5}^2$

  $=-2\times 2.25$

  $=-4.5$

Therefore, the value of the expression is $-4.5$ .