![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
Evaluate the following
a)
b)
c)
"
Solution:
a)$(\frac{1}{9})^{-1}-\frac{3 }{9^{-2}}$
=$ 9 - 3 \times 9^{2}$
= $9 - 3 \times 81 = 9 - 243 = -234$
b) $[4^{-1} - 6^{-1}]^-2$
=$\frac{1}{4} - (\frac{1}{6})^{2}$
=$(\frac{1}{12})^{-2}$
= $12^2$
= 12 $\times$ 12 = 144
c) $\left(\frac{11}{13}\right)^{3} \times 13\times \left(\frac{11}{13}\right)^{-2}$
= $\left(\frac{11}{13}\right)^{3-2} \times 13$
= $\left(\frac{11}{13}\right)^{1} \times 13$
= 11
Advertisements