Chapter 3, Problem 4RE

To determine

To evaluate the value of

  $g\left(x\right)={25}^{-3x};\text{ at }x=\frac{3}{2}$

Using a calculator.

Answer to Problem 4RE

  $g\left(\frac{3}{2}\right)=0.000000512$

Explanation of Solution

Given:

  $g\left(x\right)={25}^{-3x};\text{ at }x=\frac{3}{2}$

Calculation:

In order to evaluate the value of

  $g\left(x\right)={25}^{-3x};\text{ at }x=\frac{3}{2}$

i.e. to find value of $g\left(\frac{3}{2}\right)={25}^{-3\left(\frac{3}{2}\right)}$ which is equal to ${25}^{\frac{-9}{2}}$ or $\frac{1}{{25}^{4.5}}$ . Now press the number $\frac{1}{{25}^{4.5}}$ in calculator and press enter to evaluate the answer.

The calculator gives the result:

  $g\left(\frac{3}{2}\right)=0.000000512$

Above result is rounded to three decimal places.