Ask a Question
x

Choose Country Code

x

Direction

x

Ask a Question

  • Ask a Question
  • Scan a Question
  • Post MCQ
  • Note: File extension must be of jpg, jpeg, png, bmp format and file size must not exceed 5 MB
x

Ask a Question

x

Hire a Tutor
Delhi

Answers and Solutions

What's Your Question?
Home > Questions & Answers > Mathematics in Class 6 - 8 > Solutions with Answers
Watchlist
Mathematics

Question:

Help me to find the value of m for which 5\(^m\) ÷5\(^{-3}\)= 5\(^5\).

Posted by: Shipra Agrawal on: 30 Oct, 2017
Brajesh
Shubham Basu
Palash Rana
Raj Kumar
R. Rajeswari
Divya Chirania
+ 14 Answers by Expert Tutors
Answer

5^m / 5^(-3) = 5^5

5^m = 5^5 * 5^(-3)

As the base of multiplying numbers is same then power will add. So now equating the powers,

m = 5 + (-3)

m = 5 – 3

m = 2

Answer by:
Gauri Maheshwari, Delhi
Answer

Equating the powers,

m - (-3) = 5

m + 3 = 5

m = 5-3

Thus m = 2

Answer by:
WINGx Coaching Solutions, Jodhpur
Answer

Equating the powers,

m - (-3) = 5(as it is division)

m + 3 = 5

m = 5-3

Thus m = 2

Answer by:
Vibhor Jain, Bangalore
Answer

from above we get m+3 = 5

therfore m=2

Answer by:
Engineers Point Academy, Bhopal
Answer
A^x÷A^y = A^x-y Thus m-(-3)=5 m+3=5 m=5-3=2
Answer by:
Shiksha Mittal, Delhi
Answer

from above we get m+3 = 5

therfore m=2

Answer by:
Vijay Gupta, Mumbai
Answer
(5^m) ÷ (5^(-3)) = (5^5) => (5^m) × (5^3) = (5^5) => (5^(m+3)) = (5^5) Now, for same an equation having same bases, the exponents must also be equal => m + 3 = 5 => m = 5 - 3 => m = 2 Alternately, this can also be done by... (5^m) ÷ (5^(-3)) = (5^5) => (5^(m-(-3))) = (5^5) => (5^(m+3)) = (5^5) Now, again for same bases in an equation, we compare the exponents and get, m + 3 = 5 => m = 5 - 3 => m = 2
Answer by:
Preet Agnihotri, Vadodara
Answer

from above we get m+3 = 5

therfore m=2

Answer by:
Manish Kr. Chaudhary, Kolkata
Answer
When bases are equal we add powers in case of multiplication and subtract in case of division. So, 5^m+3= 5^5 m+3=5 m=2
Answer by:
Sakshi, Gurgaon
Answer

value of m is 2 as in division if bases are same then power is gone to be subtracted.

Answer by:
Sanjay Kumar, Delhi
Answer
5^{m-(-3)}=5^5 both hand sides bases are equal so power will also be equal. so, m+3=5 m=5-3=2
Answer by:
Babita Kumari, Kolkata
Answer

5^m/5^-3=5^5

​Therefore m+3 = 5 n m=2

Answer by:
Saad, Hyderabad
Answer

5^{m-(-3)}=5^5

the bases are equal so powers can be equated 

m+3=5

m=5-3=2

Answer by:
Sailaja Narayanam, Hyderabad
Answer

What is the value of  a^m / a^-n ??  It will be  a^m * a^n .   You might very well be knowing that that the sign of the index or power or exponent changes from positive to negative OR from negative to positve,  when a number along with its power moves from denominator to numerator and vice versa.  

In the given problem, 5^-3 (denominator) when moved upwards becomes 5^3.  Since the other number in the numerator is also with base 5 and power m,  and since both the numbers are having the base i.e. 5, you can apply 

a^m * a^n = a^m+n     i.e. 5^m * 5^3 = 5^5   Now, bases are same, hence, powers can be added.

5^m+3 = 5^5 ,  Again, since the bases are same powers can be added. i.e. m+3 = 5  implies m = 2.

 

Good luck

Answer by:
Rajendra Prasad, Bangalore
Answer

Thre is a slight silly mistake in my previous answer.Please ignore it. I am attaching the final answer. 

Answer by:
Divya Chirania, Jaipur
Answer

Left side = 5^(m+3)

So m+3 =5 or m = 2

Answer by:
R. Rajeswari, Chennai
Answer

5^{m-(-3)}=5^5

both hand sides bases are equal so power will also be equal.

so,

m+3=5

m=5-3=2

Answer by:
Raj Kumar, Delhi
Answer

m+3=5

m=2

Answer by:
Palash Rana, Ghaziabad
Answer

Equating exponents, m+3=5

Then,m= 2.

Answer by:
Shubham Basu, Kolkata
Answer
5 ^m-(-3) = 5^5 , or, 5^m+3 =5^5 , comparing powers of both side we get m+3 = 5 ,hence, m= 5-3 = 2 ans.
Answer by:
Brajesh, Ranchi

Post Answer and Earn Credit Points

Get 5 credit points for each correct answer. The best one gets 25 in all.

Post Answer

Need a Tutor or Coaching Class?

Post an enquiry and get instant responses from qualified and experienced tutors.

Post Requirement

Similar Questions

Tag Cloud

Project Management Bio Technology Baal Geet KARTET Exam HACCP French Indian-Classical Music Adobe Illustrator Certification BDS Ice Cream Making MDS Exam AIPMT Instrumentation TISS BAT Exam Swimming Coldfusion Blockchain PMP Certification PG Medical ERP Training Roller Skating Jurisprudence Nattuvangam Break Dance Direct Tax Laws Pot Painting Mental Maths Logic Quilling Egyptian Painting Rajasthani Painting Informix Training Swedish Cultural Music Java And J2EE Tap TISSMAT Exam Business Economics JECA Exam Science Olympiad KVPY Exam TANCET Algebra Clay Craft Vedic Maths CFP Santoor Apps Development B.Ed Tuition All Subjects Direct Tax Gujarati Adobe Certification Police Department Exam JIPMER Engineering Graphics KMAT PTE E-Commerce Leadership Skills Bouquet Making UPSC Exam Boutique Management Math Olympiad Abacus / Brain Gym Wheel Pottery Model Making Bolly Hop Drawing / Painting SCADA Training TS EAMCET TOEFL SaaS BCA Tuition Olympiad Exam Preparation Digital Marketing Garba AIIMS Hindustani Classical Vocal Miniature Painting Parchment Craft Photoshop Floor Exercise CCNA Cyber Ops Indian Classical Dance Android Training Indirect Tax Martial Arts Data Migration Aerobics JQuery SAS Clinical Badminton Management Accounting and Financial Analysis Other Hobbies M.Sc Tuition AMAESI RRB NTPC Exam CET Lamasa Art ACCA SET Matlab Angular JS Brain Gym Public Speaking Physical Disability Special Education Chocolate Puddings BCA Subjects TISSNET Traditional Jute Craft Beauty & Makeup Winter Camps Commercial Art Dandiya Workshops LIC Mechanical Animation Beautician Course Group Discussion Bowling Study in Europe Sugar CRM Costing Science CSAT Salsa Bollywood Fusion Study in Norway Gurmat Sangeet Minakari Art Urdu Quickbooks Link Building Kuchipudi Study in New Zealand Reiki Auditing and Assurance Pencil Drawing Frame Making Study in UK Tennis MHCET Law Fitness Centre Nail Painting English School Competition / NTSE Telugu Squash Civil Laws Human Resource Billiards NDEB Exam Cake Making Accent Training IBSAT PCS Exam Tie & Dye PDO exam Bachelor of Tourism Administration WebMethod Developer ACET BCA Entrance Business Etiquette Art & Craft Designing Glitter Painting Carnatic Vocal Table Tennis Illustrator Mandarin Assamese Flower Making GST Certification Training GPAT MuleSoft Certification Aircraft Engineering RRB JE Kids Gym Palmistry CS - Executive Fine Art Manipuri Games Development AE clients using REST ESI Exam CWE Perl Programming Corporate Accounting Legal Studies Gymnastics Oracle RDBMS Mehendi Constitutional Law Geography Decoupage Spring Camps Arabic Magento Training UGC Net German Slow Learners App Store Optimization Company Laws Municipal Service Commission Exams NPAT Exam NTPC Exam Commercial Arts Negotiation Skills IELTS Behavioral Science Import & Export MicroBiology Political Science React JS Contemporary Cerebral Palsy Tatto Designing React Native Training Guitar IAS Preparation HTML Training AE Script Weekend Camps Flute Web CMS Hotel Management Entrance Administrative Laws SEO Auditing Study in Singapore BBA Entrance Forex Trading IoT Certifications Bachelor of Hospital Administration (BHA) NIRRH NIFT Sand Art Information Technology and Strategic Management Educational Molding Craft Ceramic Painting Defence Exams Hip Hop Semi Classical Dance XAT TOPIK Exam DevOps Certification NISM NIMCET Counting Skills Interior Designing Handicrafts Philosophy Hariyanvi Folk Western Classical Music SOP Writing ACS Oratory Business Law Karate Origami Embroidery and Zari Work Art of Living Marketing Training Biotechnology Spanish Study in Canada IBPS Terracotta Training Accounts School level computer Web Development Pottery Ansys Workbench Rabindra Sangeet Kathakali CA - CPT Italian Clay Modelling Clinical Research Gondhal Business System & Infrastructure Management CMA-CPA-ACCA-CIMA Sanskrit MA Tuition Animal Yoga KEAM M.Com Tuition Magic Hindustani Vocal Strategic Business Reporting Ansys ACCA Training Folk Art Theme Cooking SAS Certifications Clay Molding Software Tools and Applications Indian Modern Dance Bollywood Dance Dry Painting Visual Basic Power BI Certification CLAT UKCAT TE EAMCET NMSQT Simulation Design Electronics Judo SEBI Exam Cooking & Baking PLAB 1 Exam Preparation Phonics Gym Abacus Teachers Training CTET Business Organisation Batik Art Six Sigma Training BITSAT Emboss Painting Pega Certification Volleyball Autodesk Maya Bootstrap Railways Exams Bolly Jazz ISI Exam Tax Laws Mexican Painting Data Structures Java Script KPSC Exam CEED AIEEE SAP ABAP JELET Mock Tests Demandware Training Courses Pharma Training Tile Painting CDS/OTA Exam Forest Department Exam Horticulture OET HIPAA Training Ayurveda Mental Retardation GST Training Light Vocal Certificate in Stock Markets CCNA Certification Personal Grooming Modern Dance Jive Resume Writing Big Data & Hadoop RA-FTP Thai Blogging Hindi GOAT Cooperative Accounting DBMS & RDBMS SEO for Ecommerce Human Anatomy Business Mathematics Advanced Auditing Singing Agriculture AILET Civics Musical & Dance Programs SSC Exams Engineering Design GMAT Najrul Geeti AMIE Online marketing Strategy Sun Certification Mughlai Python Programming Envelope Making Acting & Drama Corporate Finance Yoga BTTM Punjabi NSTSE Rock n Roll e-Filing UPPSC Exam Skating Law Entrance Fashion Designing Classical Vocal SBI Exam Corporate Communication Financial Reporting Western Vocal Manual Testing Mainframe Tailoring & Knitting CUET Exam IIT JEE Advanced Accupressure Training Weblogic CSS Training MCAT Contract Act Laws Personality Development Physics Woodwork Career Counselling Six Sigma Certification Training Adobe Tools PTT Medical Transcription IISER Exam Google Adwords Speech & Drama Tableau Botany Tally ERP 9 NDA Tibco Certification Informatica Software Testing Study in USA Mainframe Real Time South Indian Organic Chemistry Abacus Training IIT JEE Mains Marble Painting Enterprenuership Inorganic Chemistry LAMP Pro Training XLAT Exam Glass Craft Marathi NATA Exam Cutting & Pasting Data Science Ghazal ACT Exam Boxing Business Analytics Dhangar Dance IOS Training Social Media Marketing Shipping & Logistics Brainobrain Arts / Crafts Cake Decoration SLET Exam Astrology Sales Training Drawing WBCS Embedded Systems CS - Foundation Reading Skills PWD & CPWD Call Center Training Punch Craft Mysore Painting Civil NEST Hand Painting Cost Accounting and Financial Management Computer African Painting Bollywood Social Studies Montessori Teachers Training Sewing APSET Exam Cisco Certification Latin ITIL Training Local Search MCA Entrance CFA CEEB Architecture SSB Exam Data Analysis Certification TNPSC Retail Management M Seal Craft Japanese Ballroom Dance Brownies Study in Germany USMLE International Business Marketing Glass Painting CMSE Exam Content Marketing Classical Western Vocal Study in Australia Fabric Craft Bhajan Selenium Training Canvas Painting Medical Coding / Billing Parasoft R Programming Anthropology Flash Soft Skills Business Statistics Water Sports Korean Apparel Designing GSEB GUJCET Data Entry MS Office Cloud Computing Raspberry pi Programming Arduino Programming M.Tech Tuition Judicial Services Ballet BBA Tuition Study in Ireland MBA Kannada Finance IIT JAM Zumba Tagore Songs & Dance Waltz Microsoft Certification Cyber Security Certification Bengali Salad Making Telephonic Skills NEET LDC Exam Qlikview Raspberry Pi Light Classical Vocal CA - IPCC Cycling IT & Commerce Law, Ethics and Communication School level Income Tax GIC MAT NIOS B.Tech Tuition Selling Skills Quick Test Professional (QTP) Study in Dubai NMAT TEF Exam Aero Modelling Puppet Making Typing & Shorthand Sugam Sangeet CSEET Exam CAT Exam Shell Scripting Business Studies ICT Training AMITE Video Editing SAP Certification TIFR No Flame Cooking Powershell Continental MTTM AE application and landscape configuration Modern Songs MATLAB Training Candle Making English Olympiad Mechanics Toy Making Madhubani Painting UGC Exams PG Diploma MPSC Regional Mathematical Olympiad (RMO) IPS Exam HR/Personnel Story Telling SAT Software Engineering Recitation GUJCET Basketball Computer Science Actuarial Science IBM Training GAT Exam Drupal IIM Exam Anchoring & News Reading Stenography and Shorthand Financial Management Workshops & Seminars RRB FMS Semi Classical Vocal IBPS PO Jewellery Design B.A. Tourism Choreography Classes Violin Driving Classes BHA Physical Development Russian Freshbooks Writing Skills Jazz Food & Nutrition Chinese PL/SQL Joomla Training Keyboard Auto Meditation EVS Advanced Excel COMEDK Exam 3D Animation Fencing Dell Boomi Certification Scratch Programming Economics Tango Archery Yoga & Meditation Websphere Psychology Horse Riding WebMethods Certification UPESEAT Exam Purse Making Acrobatic AIPG Exam Sub-Inspector Exam NET Salesforce Certification Acrylic Painting MHA Sattriya Lisie Junction EPFO AutoCAD Training Robotics Clay Painting Western Dance Email Marketing Cricket MCI Exam Fabric Painting BBA Subjects NID Piano Zoology Laser Cutting Mask Making Investment Training CIMA Certification Mobile Repairing Mocktail Making CWE Coaching Warli Painting Laptop Repairing Customer Service GPSC Nursery Rhymes Pharmacy Arts Group Computer for official job Mathematics Oil Painting Human Resource and Marketing Taxation CA Foundation Body Language Odissi Indian Classical Vocal Oracle Certification Wordpress Training SLAT Exam BBE Exam AP EAPCET PLC Training Learning Disabilities Golf Programming Language Bhakti Songs Film Making Biology Mexican Carnatic Dance CA - Final Blog Programming International SEO PSU Exam Analytics Meditation Chhau Java API CA Intermediate Chemical Sculpture Making Crayons Painting Kung Fu RHCE Training Devotional Dance Bio Chemistry Auditing Water Colours CS Professional Pop Classes Power Yoga Statistics Page Maker Cyber Olympiad Vmware Communicative English Folk Dance GRE 2D Animation Bio-medical Devotional Songs IIFT Kathak BPO Training Baking Coding & Programming NPTT CMA Final SNAP Scrum Master Certification Dressing Codes LSAT Spoken English AWS Training WBJEE Behavioural Disabilities QURAN Fair & Exhibitions GATE Exam Diya Making AJAX Training Corporate Laws DMRC Entrance Performance & Shows VLSI Designing Training Healthcare Management IES Exam Information Systems Control and Audit Colouring Strategic Financial Management Rangoli Shlokas Anatomy Facebook Applications Animation Drawing Stress Management Kolattam Dance Mocktail Vegetarian LLB Presentation Skills School Level Training Automobile Engineering Fitness Office Administration Book Keeping KAS Exam MICA PLAB 2 Exam Preparation DSA BMS Tuition Multimedia Adobe After Effects Certification Physical Education Special Effects Effective Communication Graphic Designing SQL EAMCET Primavera C# (C Sharp) Combo Organ B.Ed Karnataka Folk Study in Switzerland Physiology Creative dance LNAT Exam Andhra Folk Networking Gujrati Folk Science Projects North Indian ICWA & ICWAI AFCAT Life Coaching Card Making Medical Entrance Exams Play Gym BBM MCA Subjects Language Indian Classical Music Persian Calligraphy Cha Cha Spell Bee Training Production Portrait Scrapbooking Mohiniyattam Creative Writing Classes Information Practice Commerce Subjects Insurance Exams Graphics & Multimedia MPPSC Fashion Study Block Painting SAP Training LLM Acupressure FDDI Mural Painting Debate Sandwich Making Hardware Training BPM Training Salesforce CRM Rajasthani Folk NBDE Photography Paper Craft Content Writing ASP.Net Charcoal Painting Aeronautical Cartooning Gaudiya Nritya Tabla Education Criminal Laws MSBI Certification Shetkari DSC Exam Football Bead Craft Textile Designing Business Management Microsoft Azure Certification IIMC Entrance Exam COBIT Certification MHT CET MCA MongoDB Telegraph Painting BFIA Exam BBA MCA Entrance Exam (JECA) Hypnotherapy Indian Folk AP ECET AITMT Artificial Intelligence (AI) Hotel Management Event Management Business English Tamil Portuguese Corel Draw Traditional drawing Desserts CMA Intermediate Magic Tricks IPMAT Company and Allied Laws AIEED Public Administration Malayalam Bread Craft Basic Computer School Service Commission CMAT NTT Stock & Share Trading Spring Training Study in China Bank Clerical Bharat Natyam Pastel Painting Electrical Drums DSSB Flower Arrangement Ethical Hacking IIT JEE Preparation Adventure Camps Adobe Premiere Pro Certification Sufi Machine Learning CPFA Massage Therapy TOEIC Accessory Making MBA Entrance Node JS Management Subjects Pool Zoho CRM NSEJS / KVPY NTSE Sitar Harmonium Poster Colour Painting BCA MBBS Tuition Hearing Impairment IT Unix/Linux Bank PO Pilates C, C++ Retail Computer Hardware Snooker Appium Certification Electronics And Communication Handwriting Polytechnic B.Com Tuition Banking & Finance Home Science DTP Decoration Memory Techniques Laravel Insurance Training Gaming Training Programs Rhythmic Rhymes Polytechnic Entrance Rowing PSC Exam Food Inspector Exam General Knowledge TET BA Tuition Belly B.Sc Tuition Chess Marathi Folk Lego Programming Interview Skills B.Arch Tuition Bio-informatics Data Mining Poster Making Cupcake Agile Certification Summer Camps RBI Exam Zend Framework Advanced Maths Collage Remo 3D Diya Decoration Arts Subjects Puddings Advanced Management Accounting PET Exam SSC JE .Net DU JAT Exam SSC CGL Exams NCLEX Sketch Up Indian Contemporary PHP And MySQL 3D Max / Maya Mass communication Danish Oracle Training JEXPO Synthesizer Study in France IFRS Nip Painting MIS Training Tanjore Painting Sociology Dreamweaver IT & Computer Subjects Indian National Mathematical Olympiad (INMO) Ruby On Rails Journalism/Writing PSAT Chocolate Making Jungle Art Sharepoint Accountancy Web Designing NMIMS Exam History 3D Printing AICEE Press Release Writing Nib Painting M.Ed Tuition CMA Foundation Tattoo Painting Chemistry Bag Making Fusion Rhyme & Chime

Top Contributors

Narayan R

  • 9 Years of Teaching Experience
  • Baghajatin, Ballygunge, Garia, Jadavpur, Kalikapur, Narendrapur, Patuli, Ruby Hospital, Santoshpur, Sonarpur

Teaches

Mathematics Business Mathematics Chemistry Computer Science +12 More
Answers Posted:1238

Navin S

  • 6 Years of Teaching Experience
  • Banjara Hills, Cherlapalli, Hyderabad Public School, Jubilee Hills, Mettuguda, Nacharam, Tarnaka

Teaches

Algebra Geography Mathematics Physics +12 More
Answers Posted:786

Arpita K

  • 8 Years of Teaching Experience

Teaches

Biology EVS Physiology Zoology +3 More
Answers Posted:728

Kumar A

  • 2 Years of Teaching Experience
  • Dum Dum, Garia, Jadavpur, Kestopur, Lake Town, New Town, Salt Lake, Sova Bazar, Ultadanga

Teaches

Mental Maths English Geography Mathematics +5 More
Answers Posted:659

Kaushik B

  • 7 Years of Teaching Experience
  • Wasseypur

Teaches

Chemistry Mathematics Physics Management Subjects +1 More
Answers Posted:650

Dibyendu M

  • 4 Years of Teaching Experience
  • Bosepukur

Teaches

Mathematics Physics Science Statistics
Answers Posted:575

Vijay G

  • 9 Years of Teaching Experience
  • Bhandup, Chandivali, Chandivali Farm Road, Ghatkopar, Hiranandani Gardens, IIT Powai, Kanjur Marg, Powai, Rambaug, Vikhroli

Teaches

Language Mental Maths Olympiad Exam Preparation Vedic Maths +12 More
Answers Posted:567

Anita M

  • 7 Years of Teaching Experience
  • Kidwai Nagar

Teaches

Basic Computer MS Office School level computer Tally ERP 9 +11 More
Answers Posted:549

Arunavo L

  • 13 Years of Teaching Experience

Teaches

CA - IPCC CS - Executive CS - Foundation Direct Tax Laws +9 More
Answers Posted:476

Prantik S

  • 11 Years of Teaching Experience
  • Ajoynagar, Baghajatin, Garfa, Garia, Hiland Park, Jadavpur, Kalikapur, Patuli, Santoshpur, Sapuipara, Survey Park

Teaches

Basic Computer Computer for official job MS Office School level computer +16 More
Answers Posted:462