![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: $4 \times( \frac{2}{3})^{4} \times 9$.
Given: $4 \times( \frac{2}{3})^{4} \times 9$.
To do: To solve $4 \times( \frac{2}{3})^{4} \times 9$.
Solution:
$4 \times( \frac{2}{3})^{4} \times 9$
$=2^2\times\frac{2^4}{3^4}\times3^2$
$=2^2\times2^4\times3^{-4}\times3^2$
$=2^{2+4}\times3^{-4+2}$
$=2^6\times3^{-2}$
$=2\times2\times2\times2\times2\times2\times3^{-2}$
$=64\times3^{-2}$
$=8^2\times3^{-2}$
$=\frac{8^2}{3^2}$
$=\frac{64}{9}$
Thus, $4 \times( \frac{2}{3})^{4} \times 9=\frac{64}{9}$.
Advertisements