- 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: $( \frac{( 2^{5})^{2} \times 7^{3}}{8^{3} \times 7})$.
Given: Expression: $( \frac{( 2^{5})^{2} \times 7^{3}}{8^{3} \times 7})$.
To do: To solve the given expression.
Solution:
Given expression: $( \frac{( 2^{5})^{2} \times 7^{3}}{8^{3} \times 7})$
$=\frac{2^{5\times2}\times7^3}{( 2^3)^{3}\times7}$
$=\frac{2^{10}\times 7^3}{2^9\times7}$ [$\because ( a^m)^n=a^{mn}$]
$=2^{10-9}\times7^{3-1}$ [$\because \frac{a^m}{a^n}=a^{m-n}$
$=2^1\times7^1$
$=14$
Thus, $( \frac{( 2^{5})^{2} \times 7^{3}}{8^{3} \times 7})=14$
Advertisements