![Trending Articles on Technical and Non Technical topics](/images/trending_categories.jpeg)
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Simplify:$ \sqrt[3]{(343)^{-2}} $
Given:
\( \sqrt[3]{(343)^{-2}} \)
To do:
We have to simplify the given expression.
Solution:
We know that,
$(a^{m})^{n}=a^{m n}$
$a^{m} \times a^{n}=a^{m+n}$
$a^{m} \div a^{n}=a^{m-n}$
$a^{0}=1$
Therefore,
$\sqrt[3]{(343)^{-2}}=(343)^{\frac{-2}{3}}$
$=(7^3)^{\frac{-2}{3}}$
$=(7)^{3\times\frac{-2}{3}}$
$=(7)^{-2}$
$=\frac{1}{7^2}$
$=\frac{1}{49}$
Hence, $\sqrt[3]{(343)^{-2}}=\frac{1}{49}$.
Advertisements