![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
Solve: $\frac{2^3}{2^{3}.5^{3}}$.
Given: $\frac{2^3}{2^{3}.5^{3}}$.
To do: To solve: $\frac{2^3}{2^{3}.5^{3}}$.
Solution:
$\frac{2^3}{2^{3}.5^{3}}$
$=2^3\times2^{-3}\times5^{-3}$ [$\because \frac{1}{a^m}=a^{-m}$]
$=2^{3-3}\times5^{-3}$ [$\because a^m\times a^n=a^{m+n}$]
$=2^0\times 5^{-3}$
$=1\times\frac{1}{5^3}$
$=\frac{1}{5\times5\times5}$
$=\frac{1}{125}$
Thus, $\frac{2^3}{2^{3}.5^{3}}=\frac{1}{125}$
Advertisements