((11881รท0.0017)^90)^3=975214423263214168505948305386402217552053084633874223585290510131506286189665801471122797262946804022376136829718238042135479719868174043418575565156755157007483224363959418438253650431682076571737828460391797360425641518156517753009423771896608466547665182393180197364252150380604680167082387682833849088581229923536426839061028011428247732927006569528660645047560177341412700845234410417846896575549577726062530241178804353463163904942282183801239168221411429901066799954709611740369698177470822314116705627049258924872744535418330736639796527248323701195976976658688115226956999349179715740510036070920630712875106749349794539739986231228995994373160926107431363459893463976781713402886656358725373718532868023666946573284808305681531061470513832173588480708387415889165102385880615688105021905485964620914869456267062096117619961193486494868590407326421542811292528227529478114469559933869047137504896155369874183454676816725597794527167247235461377320739815474357025464978972182376936356056606796132389329996623231063616281925760982515614465958466169209756232169764816126858101212128580328963746042816662405917552489427461481288251332468437346998134192206714897005044162418928589593876081274517319211866236658745517336706219111838222614796376556657375916590831459480398446544009071632424044515795375703030258242260871245297963990983015147210202327128424057584734332994906532072466295394063782079405080006046004242721007445617223613028286769455128547016402019532717357762342531049451581268809092049168375320644422612595092599693406392941028518697364112366381858391753695473978841248121575350750285324765813558217228804990157513069729686077441551068182206857779953385885029201187569725416543054054988709039149255623751342485926454312556954891846247959107778264644763931924765661098453476869504985310827784587130147656693218678652837663732863175+64005528530219858619264243085095474693150585298036016146236932140017035004817649374930521497585023925622469898741653481526062721511989780663063150567508685902981956953017614681619595372558681439521606835567186927312092497328098892736884546710597661524782687113335017305439535218559815902610260080011100164812381066358849895391974425/166421247101397520435654181206896591070375596020108289333399958721131375468155026307760749601209421714689716444977348420741982232714885738934463075330532174550303856208625039321428563922260416903308512045153009119998899154546594114467877094273431953581935763498614779146286005267532869101559818458973462217824678704343459808732359649

asked by guest
on Jan 25, 2025 at 2:22 am



You asked:

Investigate the equation: \({{\left( \frac{11881}{0.0017} \right)}^{90}}^{3} = 975214423263214168505948305386402217552053084633874223585290510131506286189665801471122797262946804022376136829718238042135479719868174043418575565156755157007483224363959418438253650431682076571737828460391797360425641518156517753009423771896608466547665182393180197364252150380604680167082387682833849088581229923536426839061028011428247732927006569528660645047560177341412700845234410417846896575549577726062530241178804353463163904942282183801239168221411429901066799954709611740369698177470822314116705627049258924872744535418330736639796527248323701195976976658688115226956999349179715740510036070920630712875106749349794539739986231228995994373160926107431363459893463976781713402886656358725373718532868023666946573284808305681531061470513832173588480708387415889165102385880615688105021905485964620914869456267062096117619961193486494868590407326421542811292528227529478114469559933869047137504896155369874183454676816725597794527167247235461377320739815474357025464978972182376936356056606796132389329996623231063616281925760982515614465958466169209756232169764816126858101212128580328963746042816662405917552489427461481288251332468437346998134192206714897005044162418928589593876081274517319211866236658745517336706219111838222614796376556657375916590831459480398446544009071632424044515795375703030258242260871245297963990983015147210202327128424057584734332994906532072466295394063782079405080006046004242721007445617223613028286769455128547016402019532717357762342531049451581268809092049168375320644422612595092599693406392941028518697364112366381858391753695473978841248121575350750285324765813558217228804990157513069729686077441551068182206857779953385885029201187569725416543054054988709039149255623751342485926454312556954891846247959107778264644763931924765661098453476869504985310827784587130147656693218678652837663732863175 + \frac{64005528530219858619264243085095474693150585298036016146236932140017035004817649374930521497585023925622469898741653481526062721511989780663063150567508685902981956953017614681619595372558681439521606835567186927312092497328098892736884546710597661524782687113335017305439535218559815902610260080011100164812381066358849895391974425}{166421247101397520435654181206896591070375596020108289333399958721131375468155026307760749601209421714689716444977348420741982232714885738934463075330532174550303856208625039321428563922260416903308512045153009119998899154546594114467877094273431953581935763498614779146286005267532869101559818458973462217824678704343459808732359649}\).

MathBot Answer:

This equation has no unknown quantities, so it is either true or false.

This equation is true because the left-hand side is equal to the right-hand side.

The left-hand side of the equation is:

\[{{\left( \frac{11881}{0.0017} \right)}^{90}}^{3} = \frac{162296400510734235562804508883198593046838094400030610420674903404057602586527024613299552319839578395066167177412356377022905495514047362062470081824747845765288075678639724240878874927371045573784064661326322890553362919211409837332579891109328047786349766269151443278132427351413888748547578774542664629399560208495904645313965391363185453022850531398210461387850135958445023458065759621905857205997049432312824595949433968499734749531169603138058048075536144807763820372420146549560612007273931590964919740897850230573712698866732109471441241983249408120250467292391695657237014740661817783936093305205303539938416514316319798272417993310474142301391831300477071519079296081877627449261849384597092497167317031424820587313828860551956980983078960884152995511692397325741902677659953052033853745670600954274476421060276147070036692713764030688190804287385155452821974165863591251861619156619512924110285054097634201900544173030842559202788941597793176421833877749233988838619082073452148539069167871749541841973209892640710762735903719123115815811046897384113866203658366357838245339979137767423601000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{166421247101397520435654181206896591070375596020108289333399958721131375468155026307760749601209421714689716444977348420741982232714885738934463075330532174550303856208625039321428563922260416903308512045153009119998899154546594114467877094273431953581935763498614779146286005267532869101559818458973462217824678704343459808732359649}\]

The right-hand side of the equation is:

\[975214423263214168505948305386402217552053084633874223585290510131506286189665801471122797262946804022376136829718238042135479719868174043418575565156755157007483224363959418438253650431682076571737828460391797360425641518156517753009423771896608466547665182393180197364252150380604680167082387682833849088581229923536426839061028011428247732927006569528660645047560177341412700845234410417846896575549577726062530241178804353463163904942282183801239168221411429901066799954709611740369698177470822314116705627049258924872744535418330736639796527248323701195976976658688115226956999349179715740510036070920630712875106749349794539739986231228995994373160926107431363459893463976781713402886656358725373718532868023666946573284808305681531061470513832173588480708387415889165102385880615688105021905485964620914869456267062096117619961193486494868590407326421542811292528227529478114469559933869047137504896155369874183454676816725597794527167247235461377320739815474357025464978972182376936356056606796132389329996623231063616281925760982515614465958466169209756232169764816126858101212128580328963746042816662405917552489427461481288251332468437346998134192206714897005044162418928589593876081274517319211866236658745517336706219111838222614796376556657375916590831459480398446544009071632424044515795375703030258242260871245297963990983015147210202327128424057584734332994906532072466295394063782079405080006046004242721007445617223613028286769455128547016402019532717357762342531049451581268809092049168375320644422612595092599693406392941028518697364112366381858391753695473978841248121575350750285324765813558217228804990157513069729686077441551068182206857779953385885029201187569725416543054054988709039149255623751342485926454312556954891846247959107778264644763931924765661098453476869504985310827784587130147656693218678652837663732863175 + \frac{64005528530219858619264243085095474693150585298036016146236932140017035004817649374930521497585023925622469898741653481526062721511989780663063150567508685902981956953017614681619595372558681439521606835567186927312092497328098892736884546710597661524782687113335017305439535218559815902610260080011100164812381066358849895391974425}{166421247101397520435654181206896591070375596020108289333399958721131375468155026307760749601209421714689716444977348420741982232714885738934463075330532174550303856208625039321428563922260416903308512045153009119998899154546594114467877094273431953581935763498614779146286005267532869101559818458973462217824678704343459808732359649} = \frac{162296400510734235562804508883198593046838094400030610420674903404057602586527024613299552319839578395066167177412356377022905495514047362062470081824747845765288075678639724240878874927371045573784064661326322890553362919211409837332579891109328047786349766269151443278132427351413888748547578774542664629399560208495904645313965391363185453022850531398210461387850135958445023458065759621905857205997049432312824595949433968499734749531169603138058048075536144807763820372420146549560612007273931590964919740897850230573712698866732109471441241983249408120250467292391695657237014740661817783936093305205303539938416514316319798272417993310474142301391831300477071519079296081877627449261849384597092497167317031424820587313828860551956980983078960884152995511692397325741902677659953052033853745670600954274476421060276147070036692713764030688190804287385155452821974165863591251861619156619512924110285054097634201900544173030842559202788941597793176421833877749233988838619082073452148539069167871749541841973209892640710762735903719123115815811046897384113866203658366357838245339979137767423601000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{166421247101397520435654181206896591070375596020108289333399958721131375468155026307760749601209421714689716444977348420741982232714885738934463075330532174550303856208625039321428563922260416903308512045153009119998899154546594114467877094273431953581935763498614779146286005267532869101559818458973462217824678704343459808732359649}\]

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