Chapter 4.6, Problem 52E

To determine

To evaluate ${\left(8.1\right)}^{-2}$ using a calculator.

Answer to Problem 52E

  $0.015$

Explanation of Solution

Given information: ${\left(8.1\right)}^{-2}$

  ${\left(8.1\right)}^{-2}$

Which further becomes

  $={\left(\frac{1}{8.1}\right)}^2$

Thus the next step is

  $=\frac{1}{8.1\times 8.1}$

This could be written as

  $=\frac{100}{81\times 81}$

Hence it becomes

  $=\frac{100}{6561}$

Now , use the calculator to obtain the result.

  $=0.015$ This is the answer after rounding off to the nearest thousandth.