Chapter 12, Problem 6CLR

To determine

To Evaluate: The simplified value of the expression $d÷e^a$ where $a=-1$ , $b=1$ , $c=0$ , $d=3$ and $e=-\frac{5}{2}$ .

Answer to Problem 6CLR

The value of the expression $d÷e^a$ is $-\frac{15}{2}$ .

Explanation of Solution

Given information:

The expression is $d÷e^a$ and the values of variables are $a=-1$ , $b=1$ , $c=0$ , $d=3$ and $e=-\frac{5}{2}$ .

Formula used:

An algebraic expression may be replaced by numerical expression when the value of variable

Substitute in the expression.

Calculation:

Consider the expression $d÷e^a$ and values of variable $a=-1$ , $b=1$ , $c=0$ , $d=1$ and $e=-\frac{5}{2}$ .

Recall that an algebraic expression may be replaced by numerical expression when the value of

variable substitute in the expression.

Use it, the expression $d÷e^a$ replace as:

  $3÷{\left(-\frac{5}{2}\right)}^{-1}$

Simplify it,

  $\begin{array}{c}3÷{\left(-\frac{5}{2}\right)}^{-1}=3÷\left(\frac{1}{-\frac{5}{2}}\right)\\ =3÷\left(-\frac{2}{5}\right)\\ =3\times \left(-\frac{5}{2}\right)\\ =-\frac{15}{2}\end{array}$

Thus, the value of the expression $d÷e^a$ is $-\frac{15}{2}$ .