(5575+296/99)^99=79669964664169591297767411902185766158744441457804513118728693739633239438042720891616733597785637175756779509320876369329193150070630380952465620656176979569676813198033301376227365689908754026122412999218769374780108428866198691566493024960092353126033808663983962772768364124787551721721300250351886951788108656178293039822887228682133688036980669696707290449200469797 197140411604874892595044085428612586080229420785794759070164815244668197913777442756278794543637342442371109383709367139610217524051565599918210633676644108561398508010672411103772729019008602399678/369729637649726772657187905628805440595668764281741102430259972423552570455277523421410650010128232727940978889548326540119429996769494359451621570193644014418071060667659301384999779999159200499899

asked by guest
on Oct 22, 2024 at 12:12 pm



You asked:

Investigate the equation: \({\left( 5575 + \frac{296}{99} \right)}^{99} = 79669964664169591297767411902185766158744441457804513118728693739633239438042720891616733597785637175756779509320876369329193150070630380952465620656176979569676813198033301376227365689908754026122412999218769374780108428866198691566493024960092353126033808663983962772768364124787551721721300250351886951788108656178293039822887228682133688036980669696707290449200469797\frac{197140411604874892595044085428612586080229420785794759070164815244668197913777442756278794543637342442371109383709367139610217524051565599918210633676644108561398508010672411103772729019008602399678}{369729637649726772657187905628805440595668764281741102430259972423552570455277523421410650010128232727940978889548326540119429996769494359451621570193644014418071060667659301384999779999159200499899}\).

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:

\[{\left( 5575 + \frac{296}{99} \right)}^{99} = \frac{29456347166849958915925013946648883673021522404387895224961180490505620364062542139736620290280182357336306729633764635159365400035169046059445799050149007597169647106646945527548763216451100195355590816766241604813543888607419370207542108794353352289649968299454635150286202104610463920228472580244322342243280712875985975668590443569262053934788072017670581219000752453653104833623681789665852256430076523636685485146015859038105303863629643677190412911225221009939487520707118649523941092930513152807623900379434051265831793561763717803194666750007422278556653450181}{369729637649726772657187905628805440595668764281741102430259972423552570455277523421410650010128232727940978889548326540119429996769494359451621570193644014418071060667659301384999779999159200499899}\]

The right-hand side of the equation is:

\[79669964664169591297767411902185766158744441457804513118728693739633239438042720891616733597785637175756779509320876369329193150070630380952465620656176979569676813198033301376227365689908754026122412999218769374780108428866198691566493024960092353126033808663983962772768364124787551721721300250351886951788108656178293039822887228682133688036980669696707290449200469797\frac{197140411604874892595044085428612586080229420785794759070164815244668197913777442756278794543637342442371109383709367139610217524051565599918210633676644108561398508010672411103772729019008602399678}{369729637649726772657187905628805440595668764281741102430259972423552570455277523421410650010128232727940978889548326540119429996769494359451621570193644014418071060667659301384999779999159200499899} = \frac{29456347166849958915925013946648883673021522404387895224961180490505620364062542139736620290280182357336306729633764635159365400035169046059445799050149007597169647106646945527548763216451100195355590816766241604813543888607419370207542108794353352289649968299454635150286202104610463920228472580244322342243280712875985975668590443569262053934788072017670581219000752453653104833623681789665852256430076523636685485146015859038105303863629643677190412911225221009939487520707118649523941092930513152807623900379434051265831793561763717803194666750007422278556653450181}{369729637649726772657187905628805440595668764281741102430259972423552570455277523421410650010128232727940978889548326540119429996769494359451621570193644014418071060667659301384999779999159200499899}\]

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