Simplify:
$ \left\{3^{-1} \times(-4)^{-1}\right\} \times 6^{-1} $

Given:

\( \left\{3^{-1} \times(-4)^{-1}\right\} \times 6^{-1} \)

To do:

We have to simplify \( \left\{3^{-1} \times(-4)^{-1}\right\} \times 6^{-1} \).

Solution:
We know that,

$a^{-m}=\frac{1}{a^m}$

Therefore,

${3^{-1} \times(-4)^{-1}} \times 6^{-1}=(\frac{1}{3}\times\frac{1}{-4}) \times \frac{1}{6}$

$=\frac{1}{3\times-4\times6}$

$=-\frac{1}{72}$

Hence, ${3^{-1} \times(-4)^{-1}} \times 6^{-1}=-\frac{1}{72}$. 

Tutorialspoint

e

Updated on: 10-Oct-2022

28 Views

Kickstart Your Career

Get certified by completing the course

Get Started