Chapter 7.1, Problem 6P

Simplify each expression.

${46}^{-1}$

To determine

To simplify ${46}^{-1}$

Answer to Problem 6P

The value of ${46}^{-1}$ is $\frac{1}{46}=0.022$ .

Explanation of Solution

Given information :

Given expression ${46}^{-1}$

As we know that $a^{-n}=\frac{1}{a^n}\text{for}\text{any}\text{non}\text{zero}\text{real}\text{number}\text{'a'}\text{.}$

Put $a=46,n=-1$ in above rule

  $\Rightarrow {\left(46\right)}^{-1}=\frac{1}{46}=0.022$

Hence, the value of ${46}^{-1}$ is $\frac{1}{46}=0.022$ .