Chapter 7.9, Problem 11WE

To determine

To calculate: The simplified form of the expression $1^{-6}$ .

Answer to Problem 11WE

The simplified form of the expression $1^{-6}$ is $1$ .

Explanation of Solution

Given information:

The expression $1^{-6}$ .

Formula used:

The expression $a^{-n}$ is expressed as $\frac{1}{a^n}$ where a is a nonzero real number and n is a positive integer.

Calculation:

Consider the expression $1^{-6}$ .

Recall that expression $a^{-n}$ is expressed as $\frac{1}{a^n}$ where a is a nonzero real number and n is a positive integer.

Apply it,

  $\begin{array}{c}{1}^{-6}=\frac{1}{1^6}\\ =\frac{1}{1}\\ =1\end{array}$

Thus, the simplified form of the expression $1^{-6}$ is $1$ .