Chapter 4.6, Problem 54E

To determine

To evaluate ${\left(7.5\right)}^{-3}$ using a calculator.

Answer to Problem 54E

  $0.002$

Explanation of Solution

Given information: ${\left(7.5\right)}^{-3}$

  ${\left(7.5\right)}^{-3}$

Which further becomes

  $={\left(\frac{1}{7.5}\right)}^3$

Thus next step is

  $=\frac{1}{7.5\times 7.5\times 7.5}$

This could be written as

  $=\frac{1000}{75\times 75\times 75}$

Hence it becomes

  $=\frac{10000}{421875}$

Now , use the calculator to obtain the result.

  $=0.00237037037$

  $=0.002$ This is the answer after rounding off to the nearest thousandth.