Question : Find the value of $[49^{\frac{3}{2}}+49^{-\frac{3}{2}}]$.
Option 1: $\frac{11749}{343}$
Option 2: $\frac{117550}{343}$
Option 3: $\frac{117659}{343}$
Option 4: $\frac{117650}{343}$
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: $\frac{117650}{343}$
Solution :
Given: $[49^{\frac{3}{2}}+49^{-\frac{3}{2}}]$
Simplifying this expression by factorising, we have,
= $[(7^{2})^{\frac{3}{2}}+(7^{2})^{\frac{–3}{2}}]$
= $[7^{3}+7^{–3}]$
= $[343+\frac{1}{7^{3}}]$
= $[343+\frac{1}{343}]$
= $[\frac{117649+1}{343}]$
= $\frac{117650}{343}$
Hence, the correct answer is $\frac{117650}{343}$.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
