- #1
scilover89
- 78
- 0
Even calculator can't solve this...
(8^2003+6^2003)/49=?
Who can solve this?
(8^2003+6^2003)/49=?
Who can solve this?
Can Modern Calculators Solve (8^2003 + 6^2003) / 49?
- Thread starter scilover89
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In summary, the conversation is about a seemingly unsolvable equation and the answer provided is a long numerical value. The conversation also includes some discussion about the accuracy of the answer and the possibility of a simpler solution. The question of "why" is also posed, but not answered.
- #2
Gokul43201
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[tex]8^{2003} = 10^{2003*log_{10}8} = 10^{1808.88924} = 7.75 * 10^{1808}[/tex]
[tex]6^{2003} = 10^{2003*log_{10}6} = 10^{1558.63695} = 4.335 * 10^{1558}[/tex]
The second can be neglected in comparison to the first giving
[tex](8^{2003}+6^{2003})/49 = (about)~ 1.5816 * 10^{1807} [/tex]
Also, if you wrote out the full number (in decimal expansion) in all its gory detail, the digits after the decimal point would be .04081632653... for whatever that's worth.
[tex]6^{2003} = 10^{2003*log_{10}6} = 10^{1558.63695} = 4.335 * 10^{1558}[/tex]
The second can be neglected in comparison to the first giving
[tex](8^{2003}+6^{2003})/49 = (about)~ 1.5816 * 10^{1807} [/tex]
Also, if you wrote out the full number (in decimal expansion) in all its gory detail, the digits after the decimal point would be .04081632653... for whatever that's worth.
Last edited:
- #3
houserichichi
- 40
- 0
Well, I didn't do the arithmetic, but the answer is
110699562591395625875266564924664097310974709512929097789175911617601046454386434533363625521484979625995866415556215005295416133194216915274253564533823808741077943952672510750053902252973351456954446065237629947590350789140326338000369452446840290082144467142045178897824353048670587312080224265459784206322855624222209627723142215253195344567886035909787077726154777006320959340849530325395879878645900740268181333554850414711304850535157904078675787256343935250506945484632580361260539052711292135393964305721326164034185323257036401562064939229517300512382832378049844366899876452596800955806420515203883818227428415114965787363900634482730394595855901269536477229409114070793987701830131336961091311521917948013656268286590558122942173068042452683584041597393131362115133639708695813827166004500777279577036282790847755599032408449092996078742277433061567299573578686181516485959696804800782360503486653196727233559342142902572693633989299389429306974042715177724597042437294815094190562672889102497380940799682008786172658233122667320788812823727542218978920706958595020667644482284910188722257885885010942161301492075556745333658141372608295823959953020682907150950904979738403629013487885794876482903052545000231653116968614767872331012877153046697429893686056710998765089687784315909815005258973458134465324287048736599893117632184261219444205283823063443143881361385024937369090408673392508695811724593424721886293429928788520837043197212862355297138917320309016807737396766789530004574754173260914474719164345351785481277844433138044222960404781867964113414476335964916396492692453035888217537736329111435482807135250055792650863889863243772287640514370785654038798197610745561837609318531738132668887103225077809387770418238590052166821081931085756853573798577748014227700555866270649651879215104
divided by 7, which can be shortened to approximately
1.5814223227342232267895223637314066 * 10^1807
Mathematica did it, not me
Excuse the strange spacing too...it's late and I feel no urge to write simple latex.
110699562591395625875266564924664097310974709512929097789175911617601046454386434533363625521484979625995866415556215005295416133194216915274253564533823808741077943952672510750053902252973351456954446065237629947590350789140326338000369452446840290082144467142045178897824353048670587312080224265459784206322855624222209627723142215253195344567886035909787077726154777006320959340849530325395879878645900740268181333554850414711304850535157904078675787256343935250506945484632580361260539052711292135393964305721326164034185323257036401562064939229517300512382832378049844366899876452596800955806420515203883818227428415114965787363900634482730394595855901269536477229409114070793987701830131336961091311521917948013656268286590558122942173068042452683584041597393131362115133639708695813827166004500777279577036282790847755599032408449092996078742277433061567299573578686181516485959696804800782360503486653196727233559342142902572693633989299389429306974042715177724597042437294815094190562672889102497380940799682008786172658233122667320788812823727542218978920706958595020667644482284910188722257885885010942161301492075556745333658141372608295823959953020682907150950904979738403629013487885794876482903052545000231653116968614767872331012877153046697429893686056710998765089687784315909815005258973458134465324287048736599893117632184261219444205283823063443143881361385024937369090408673392508695811724593424721886293429928788520837043197212862355297138917320309016807737396766789530004574754173260914474719164345351785481277844433138044222960404781867964113414476335964916396492692453035888217537736329111435482807135250055792650863889863243772287640514370785654038798197610745561837609318531738132668887103225077809387770418238590052166821081931085756853573798577748014227700555866270649651879215104
divided by 7, which can be shortened to approximately
1.5814223227342232267895223637314066 * 10^1807
Mathematica did it, not me
Excuse the strange spacing too...it's late and I feel no urge to write simple latex.
Last edited:
- #4
Zurtex
Science Advisor
Homework Helper
- 1,120
- 1
The exact answer is:
15814223227342232267895223560666299615853529930418442541310844516800149493483776361909089360212139946570838059365173572185059447599173845039179080647689115534439706278953215821436271750424764493850635152176804278227192969877189476857195636063834327154592066734577882699689193292667226758868603466494254886617550803460315661103306030750456477795412290844255296818022111000902994191549932903627982839806557248609740190507835773530186407219308272011239398179477705035786706497804654337322934150387327447913423472245903737719169331893862343080294991318502471501768976054007120623842839493228114422258060073600554831175346916444995112480557233497532913513693700181362353889915587724399141100261447333851584473074559706859093752612370079731848881866863207526226291656770447337445019091386956544832452286357253897082433754684406822228433201207013285154106039633294509614224796955168788069422813829257254622929069521885246747651334591843224670519141328484204186710577530739674942434633899259299170080381841300356768705828526001255167522604731809617255544689103934602711274386708370717238234926040701455531751126555001563165900213153650963619094020196086899403422850431526129592992986425676914804144783983684982354700436077857175950445281230681124618716125307578099632841955150958714109298526826330844259286465567636876352189183864105228556159661740608745634886469117580491877697337340717848195584344096198929813687389227632103126613347132684074405291885316123193613876988188615573829676770966684218572082107739037273496388452049335969354468263490448292031851486397409709159059210905137845199498956064719412602505390904158776497543876464293684664409127123320538898234359195826522005542599658677937405372759790248304666983871889296829912538631176941436023831583133012250979081971225392573461100079409467235664554173586 + 2/7
As 82003+62003 is:
774896938139769381126865954472648681176822966590503684524231381323207325180705041733545378650394857381971064908893505037067912932359518406919774951736766661187545607668707575250377315770813460198681122456663409633132455523982284366002586167127882030575011269994316252284770471340694111184561569858218489444259989369555467394061995506772367411975202251368509544083083439044246715385946712277771159150521305181877269334883952902979133953746105328550730510794407546753548618392428062528823773368979044947757750140049283148239297262799254810934454574606621103586679826646348910568299135168177606690644943606427186727591998905804760511547304441379112762170991308886755340605863798495557913912810919358727639180653425636095593878006133906860595211476297168785088291181751919534805935477960870696790162031505440957039253979535934289193226859143650972551195942031430971097015050803270615401717877633605476523524406572377090634915395000318008855437925095726005148818299006244072179297061063705659333938710223717481666585597774061503208607631858671245521689766092795532852444948710165144673511375994371321055805201195076595129110444528897217335606989608258070767719671144780350056656334858168825403094415200564135380321367815001621571818780303375106317090140071326882009255802396976991355627814490211368705036812814206941257270009341156199251823425289828536109436986761444102007169529695174561583632860713747560870682072153973053204054009501519645859302380490036487079972421242163117654161777367526710032023279212826401323034150417462498368944911031966309560722833473075748793901334351754414775448847171251217522764154303780048379649946750390548556047229042706406013483600595499578271587383275218932863265229722166928682209722575544665714392927670130365167747573517600297975016590044236099593903891063894547563154505728
Edit my fault I misread the post, I've corrected it now
15814223227342232267895223560666299615853529930418442541310844516800149493483776361909089360212139946570838059365173572185059447599173845039179080647689115534439706278953215821436271750424764493850635152176804278227192969877189476857195636063834327154592066734577882699689193292667226758868603466494254886617550803460315661103306030750456477795412290844255296818022111000902994191549932903627982839806557248609740190507835773530186407219308272011239398179477705035786706497804654337322934150387327447913423472245903737719169331893862343080294991318502471501768976054007120623842839493228114422258060073600554831175346916444995112480557233497532913513693700181362353889915587724399141100261447333851584473074559706859093752612370079731848881866863207526226291656770447337445019091386956544832452286357253897082433754684406822228433201207013285154106039633294509614224796955168788069422813829257254622929069521885246747651334591843224670519141328484204186710577530739674942434633899259299170080381841300356768705828526001255167522604731809617255544689103934602711274386708370717238234926040701455531751126555001563165900213153650963619094020196086899403422850431526129592992986425676914804144783983684982354700436077857175950445281230681124618716125307578099632841955150958714109298526826330844259286465567636876352189183864105228556159661740608745634886469117580491877697337340717848195584344096198929813687389227632103126613347132684074405291885316123193613876988188615573829676770966684218572082107739037273496388452049335969354468263490448292031851486397409709159059210905137845199498956064719412602505390904158776497543876464293684664409127123320538898234359195826522005542599658677937405372759790248304666983871889296829912538631176941436023831583133012250979081971225392573461100079409467235664554173586 + 2/7
As 82003+62003 is:
774896938139769381126865954472648681176822966590503684524231381323207325180705041733545378650394857381971064908893505037067912932359518406919774951736766661187545607668707575250377315770813460198681122456663409633132455523982284366002586167127882030575011269994316252284770471340694111184561569858218489444259989369555467394061995506772367411975202251368509544083083439044246715385946712277771159150521305181877269334883952902979133953746105328550730510794407546753548618392428062528823773368979044947757750140049283148239297262799254810934454574606621103586679826646348910568299135168177606690644943606427186727591998905804760511547304441379112762170991308886755340605863798495557913912810919358727639180653425636095593878006133906860595211476297168785088291181751919534805935477960870696790162031505440957039253979535934289193226859143650972551195942031430971097015050803270615401717877633605476523524406572377090634915395000318008855437925095726005148818299006244072179297061063705659333938710223717481666585597774061503208607631858671245521689766092795532852444948710165144673511375994371321055805201195076595129110444528897217335606989608258070767719671144780350056656334858168825403094415200564135380321367815001621571818780303375106317090140071326882009255802396976991355627814490211368705036812814206941257270009341156199251823425289828536109436986761444102007169529695174561583632860713747560870682072153973053204054009501519645859302380490036487079972421242163117654161777367526710032023279212826401323034150417462498368944911031966309560722833473075748793901334351754414775448847171251217522764154303780048379649946750390548556047229042706406013483600595499578271587383275218932863265229722166928682209722575544665714392927670130365167747573517600297975016590044236099593903891063894547563154505728
Edit my fault I misread the post, I've corrected it now
Last edited:
- #5
FZ+
- 1,604
- 3
The question is...
Why?
Why?
- #6
NeutronStar
- 419
- 1
The answer is,...FZ+ said:
Why not?
- #7
Gokul43201
Staff Emeritus
Science Advisor
Gold Member
- 7,220
- 24
Yes, that is the question.
EDIT : DAMN, beat to the punch...and by a dissenter, at that. bah !
EDIT : DAMN, beat to the punch...and by a dissenter, at that. bah !
1. What is meant by "Even calculator can't solve this"?
This phrase is often used to describe a complex mathematical problem that cannot be solved using a standard calculator. It implies that the problem requires advanced mathematical knowledge or specialized software to solve.
2. Can a calculator ever solve a problem that is considered "unsolvable"?
While calculators are incredibly useful for solving a wide range of mathematical equations, there are certain problems that are considered "unsolvable". These typically involve higher-level concepts such as infinity, irrational numbers, or non-linear equations.
3. Are there any other methods or tools that can be used to solve a problem that a calculator can't?
Yes, there are many other methods and tools that can be used to solve complex mathematical problems. These may include specialized software, advanced mathematical techniques, or even manual calculations using pen and paper.
4. Why do some problems require more advanced tools than a calculator?
The complexity of a problem often determines the level of mathematical knowledge or tools required to solve it. A calculator is limited to performing basic arithmetic operations, while more advanced problems may involve concepts such as calculus, statistics, or abstract algebra that cannot be solved using a calculator alone.
5. Are there any real-world applications for problems that even a calculator can't solve?
Yes, there are many real-world applications for problems that cannot be solved using a calculator. These may include optimization problems in engineering, predicting future market trends in finance, or analyzing complex data sets in science. These problems often require advanced mathematical techniques and specialized software to find solutions.
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