Chapter 4.6, Problem 51E

To determine

To evaluate ${\left(4.5\right)}^{-3}$ using a calculator.

Answer to Problem 51E

  $0.011$

Explanation of Solution

Given information: ${\left(4.5\right)}^{-3}$

  ${\left(4.5\right)}^{-3}$

Which Further becomes

  $={\left(\frac{1}{4.5}\right)}^3$

Which results in

  $=\frac{1}{4.5\times 4.5\times 4.5}$

This could be written as

  $=\frac{1000}{45\times 45\times 45}$

Which becomes

  $=\frac{1000}{91125}$

Now ,use the calculator to obtain the result.

  $=0.01097393689$

  $=0.011$ This is the answer after rounding off to the nearest thousandth.