Chapter 7.1, Problem 27P

Write each number as a power of 10 using negative exponents.

$\frac{1}{1000}$

To determine

To write the number $\frac{1}{1000}$ as a power of $10$ using negative exponents.

Answer to Problem 27P

  $\frac{1}{{\left(10\right)}^3}={10}^{-3}$

Explanation of Solution

Given information :

Given number $\frac{1}{1000}$

Since $\frac{1}{1000}=\frac{1}{{10}^3}$

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

Put $a=10,m=3$ in above rule, we get

  $\therefore \frac{1}{{\left(10\right)}^3}={10}^{-3}$