Question
Download Solution PDF\(\rm \frac{(a^5\times b^3\times c^7)}{(a^4\times b^8\times c^9)}\) in simplified form is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(\dfrac{a^5 \times b^3 \times c^7}{a^4 \times b^8 \times c^9}\)
Formula used:
\(\dfrac{a^m}{a^n} = a^{m-n}\)
\(\dfrac{b^m}{b^n} = b^{m-n}\)
\(\dfrac{c^m}{c^n} = c^{m-n}\)
Calculations:
\(\dfrac{a^5 \times b^3 \times c^7}{a^4 \times b^8 \times c^9} \)
⇒ a5-4 × b3-8 × c7-9
⇒ a1 × b-5 × c-2
∴ The correct answer is option 2.
Last updated on Jul 19, 2025
-> The SSC CGL Notification 2025 has been announced for 14,582 vacancies of various Group B and C posts across central government departments.
-> CSIR NET City Intimation Slip 2025 has been released @csirnet.nta.ac.in.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025 in multiple shifts.
-> Aspirants should visit the official website @ssc.gov.in 2025 regularly for CGL Exam updates and latest announcements.
-> Candidates had filled out the SSC CGL Application Form from 9 June to 5 July, 2025. Now, 20 lakh+ candidates will be writing the SSC CGL 2025 Exam on the scheduled exam date. Download SSC Calendar 2025-25!
-> In the SSC CGL 2025 Notification, vacancies for two new posts, namely, "Section Head" and "Office Superintendent" have been announced.
-> Candidates can refer to the CGL Syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline, with the age limit varying from post to post.
-> The SSC CGL Salary structure varies by post, with entry-level posts starting at Pay Level-4 (Rs. 25,500 to 81,100/-) and going up to Pay Level-7 (Rs. 44,900 to 1,42,400/-).
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.