Chapter 1.2, Problem 19P

Simplify each expression.

$\frac{s^4}{4}-17$

To determine

To Evaluate: The expression $\frac{s^4}{4}-17$ when $s=2$

Answer to Problem 19P

The value of the expression $\frac{s^4}{4}-17$ at $s=2$ is $-13$

Explanation of Solution

Given information:

The expression $\frac{s^4}{4}-17\&s=2$

Concept and Formula Used:

Addition and subtraction.

To find the value of expression at given value of variable substitute the value in the expression.

Calculation:

The given expression is

  $\begin{array}{l}\frac{s^4}{4}-17\\ \text{When }s=2\\ \frac{s^4}{4}-17=\frac{2^4}{4}-17\\ \text{Solving the power}\\ \frac{s^4}{4}-17=\frac{16}{4}-17\\ \text{Simplify}\\ \frac{s^4}{4}-17=4-17\\ \frac{s^4}{4}-17=-13\end{array}$

Conclusion:

The value of the expression $\frac{s^4}{4}-17$ at $s=2$ is $-13$