Ellenőrzés
hamis
Megosztás
Átmásolva a vágólapra
\left(1+\frac{1}{1200}\right)^{126}=1+0,011
\frac{0,01}{12} szétbontásához mind a számlálót, mind a nevezőt megszorozzuk ennyivel: 100.
\left(\frac{1201}{1200}\right)^{126}=1+0,011
Összeadjuk a következőket: 1 és \frac{1}{1200}. Az eredmény \frac{1201}{1200}.
\frac{10529771156485605204454987443983755827094926014785138522386129201966068224911410103978049397393082065204894507435691100955003394536258872810014923796652153727656057764244707352037352608683516197168425099877617302442372802662153873113474888875849355699449269935542994056666713639313087533466583244558710429423150459300714556794079043540060679147594413381375614713755979199701532075340151201}{9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}=1+0,011
Kiszámoljuk a(z) \frac{1201}{1200} érték 126. hatványát. Az eredmény \frac{10529771156485605204454987443983755827094926014785138522386129201966068224911410103978049397393082065204894507435691100955003394536258872810014923796652153727656057764244707352037352608683516197168425099877617302442372802662153873113474888875849355699449269935542994056666713639313087533466583244558710429423150459300714556794079043540060679147594413381375614713755979199701532075340151201}{9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.
\frac{10529771156485605204454987443983755827094926014785138522386129201966068224911410103978049397393082065204894507435691100955003394536258872810014923796652153727656057764244707352037352608683516197168425099877617302442372802662153873113474888875849355699449269935542994056666713639313087533466583244558710429423150459300714556794079043540060679147594413381375614713755979199701532075340151201}{9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}=1,011
Összeadjuk a következőket: 1 és 0,011. Az eredmény 1,011.
\frac{10529771156485605204454987443983755827094926014785138522386129201966068224911410103978049397393082065204894507435691100955003394536258872810014923796652153727656057764244707352037352608683516197168425099877617302442372802662153873113474888875849355699449269935542994056666713639313087533466583244558710429423150459300714556794079043540060679147594413381375614713755979199701532075340151201}{9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}=\frac{1011}{1000}
Átalakítjuk a decimális formátumú számot (1,011) törtté (\frac{1011}{1000}).
\frac{10529771156485605204454987443983755827094926014785138522386129201966068224911410103978049397393082065204894507435691100955003394536258872810014923796652153727656057764244707352037352608683516197168425099877617302442372802662153873113474888875849355699449269935542994056666713639313087533466583244558710429423150459300714556794079043540060679147594413381375614713755979199701532075340151201}{9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}=\frac{9584912610431836637059049017920197501272613659735298133396363337296693326018870984504490580570378041302133421573379817730604622867043713024000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}
9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 és 1000 legkisebb közös többszöröse 9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000. Átalakítjuk a számokat (\frac{10529771156485605204454987443983755827094926014785138522386129201966068224911410103978049397393082065204894507435691100955003394536258872810014923796652153727656057764244707352037352608683516197168425099877617302442372802662153873113474888875849355699449269935542994056666713639313087533466583244558710429423150459300714556794079043540060679147594413381375614713755979199701532075340151201}{9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} és \frac{1011}{1000}) törtekké, amelyek nevezője 9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.
\text{false}
Összehasonlítás: \frac{10529771156485605204454987443983755827094926014785138522386129201966068224911410103978049397393082065204894507435691100955003394536258872810014923796652153727656057764244707352037352608683516197168425099877617302442372802662153873113474888875849355699449269935542994056666713639313087533466583244558710429423150459300714556794079043540060679147594413381375614713755979199701532075340151201}{9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} és \frac{9584912610431836637059049017920197501272613659735298133396363337296693326018870984504490580570378041302133421573379817730604622867043713024000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.
Példák
Másodfokú egyenlet
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometria
4 \sin \theta \cos \theta = 2 \sin \theta
Lineáris egyenlet
y = 3x + 4
Számtan
699 * 533
Mátrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Egyenletrendszer
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differenciálszámítás
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integrálás
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Határértékek
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}