求值
\frac{271344901227908692620636811417647467542593450786330172962127560164635518636164888224613030366534897065999212807145687107107249554309126399901576315999132964082016300210593965028995574845545771899383099004145877551627027748891283957566026859920416984139488027506692912175325617889038404507022780458595270865049381420279209524979075396264437809444878787554238192138039031198981835697639058402009899}{36603234127322950493061602657251738618971207663892369140595737269931704475072474818719654351002695040066156910065284327471823569680179941585710535449170757427389035006098270837114978219916760849490001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\approx 0.00741314
共享
已复制到剪贴板
\frac{369729637649726772657187905628805440595668764281741102430259972423552570455277523421410650010128232727940978889548326540119429996769494359451621570193644014418071060667659301384999779999159200499899}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}-\left(\frac{98}{99}\right)^{100}
计算 99 的 \frac{99}{100} 乘方，得到 \frac{369729637649726772657187905628805440595668764281741102430259972423552570455277523421410650010128232727940978889548326540119429996769494359451621570193644014418071060667659301384999779999159200499899}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}。
\frac{369729637649726772657187905628805440595668764281741102430259972423552570455277523421410650010128232727940978889548326540119429996769494359451621570193644014418071060667659301384999779999159200499899}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}-\frac{13261955589475318753308980958435182616922905831015351444050494533312509010756375490958520845863725759086387552664739214251402218000635896969959420366494800836445520178642939314417801334276044804325376}{36603234127322950493061602657251738618971207663892369140595737269931704475072474818719654351002695040066156910065284327471823569680179941585710535449170757427389035006098270837114978219916760849490001}
计算 100 的 \frac{98}{99} 乘方，得到 \frac{13261955589475318753308980958435182616922905831015351444050494533312509010756375490958520845863725759086387552664739214251402218000635896969959420366494800836445520178642939314417801334276044804325376}{36603234127322950493061602657251738618971207663892369140595737269931704475072474818719654351002695040066156910065284327471823569680179941585710535449170757427389035006098270837114978219916760849490001}。
\frac{13533300490703227445929617769852830084465499281801681617012622093477144529392540379183133876230260656152386765471884901358509467554945023369860996682493933800527536478853533279446796909121590576224759099004145877551627027748891283957566026859920416984139488027506692912175325617889038404507022780458595270865049381420279209524979075396264437809444878787554238192138039031198981835697639058402009899}{36603234127322950493061602657251738618971207663892369140595737269931704475072474818719654351002695040066156910065284327471823569680179941585710535449170757427389035006098270837114978219916760849490001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}-\frac{13261955589475318753308980958435182616922905831015351444050494533312509010756375490958520845863725759086387552664739214251402218000635896969959420366494800836445520178642939314417801334276044804325376000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{36603234127322950493061602657251738618971207663892369140595737269931704475072474818719654351002695040066156910065284327471823569680179941585710535449170757427389035006098270837114978219916760849490001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 和 36603234127322950493061602657251738618971207663892369140595737269931704475072474818719654351002695040066156910065284327471823569680179941585710535449170757427389035006098270837114978219916760849490001 的最小公倍数是 36603234127322950493061602657251738618971207663892369140595737269931704475072474818719654351002695040066156910065284327471823569680179941585710535449170757427389035006098270837114978219916760849490001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000。将 \frac{369729637649726772657187905628805440595668764281741102430259972423552570455277523421410650010128232727940978889548326540119429996769494359451621570193644014418071060667659301384999779999159200499899}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} 和 \frac{13261955589475318753308980958435182616922905831015351444050494533312509010756375490958520845863725759086387552664739214251402218000635896969959420366494800836445520178642939314417801334276044804325376}{36603234127322950493061602657251738618971207663892369140595737269931704475072474818719654351002695040066156910065284327471823569680179941585710535449170757427389035006098270837114978219916760849490001} 转换为带分母 36603234127322950493061602657251738618971207663892369140595737269931704475072474818719654351002695040066156910065284327471823569680179941585710535449170757427389035006098270837114978219916760849490001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 的分数。
\frac{13533300490703227445929617769852830084465499281801681617012622093477144529392540379183133876230260656152386765471884901358509467554945023369860996682493933800527536478853533279446796909121590576224759099004145877551627027748891283957566026859920416984139488027506692912175325617889038404507022780458595270865049381420279209524979075396264437809444878787554238192138039031198981835697639058402009899-13261955589475318753308980958435182616922905831015351444050494533312509010756375490958520845863725759086387552664739214251402218000635896969959420366494800836445520178642939314417801334276044804325376000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{36603234127322950493061602657251738618971207663892369140595737269931704475072474818719654351002695040066156910065284327471823569680179941585710535449170757427389035006098270837114978219916760849490001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}
由于 \frac{13533300490703227445929617769852830084465499281801681617012622093477144529392540379183133876230260656152386765471884901358509467554945023369860996682493933800527536478853533279446796909121590576224759099004145877551627027748891283957566026859920416984139488027506692912175325617889038404507022780458595270865049381420279209524979075396264437809444878787554238192138039031198981835697639058402009899}{36603234127322950493061602657251738618971207663892369140595737269931704475072474818719654351002695040066156910065284327471823569680179941585710535449170757427389035006098270837114978219916760849490001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} 和 \frac{13261955589475318753308980958435182616922905831015351444050494533312509010756375490958520845863725759086387552664739214251402218000635896969959420366494800836445520178642939314417801334276044804325376000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{36603234127322950493061602657251738618971207663892369140595737269931704475072474818719654351002695040066156910065284327471823569680179941585710535449170757427389035006098270837114978219916760849490001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} 具有相同的分母，可通过分子相减来求差。
\frac{271344901227908692620636811417647467542593450786330172962127560164635518636164888224613030366534897065999212807145687107107249554309126399901576315999132964082016300210593965028995574845545771899383099004145877551627027748891283957566026859920416984139488027506692912175325617889038404507022780458595270865049381420279209524979075396264437809444878787554238192138039031198981835697639058402009899}{36603234127322950493061602657251738618971207663892369140595737269931704475072474818719654351002695040066156910065284327471823569680179941585710535449170757427389035006098270837114978219916760849490001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}
将 13533300490703227445929617769852830084465499281801681617012622093477144529392540379183133876230260656152386765471884901358509467554945023369860996682493933800527536478853533279446796909121590576224759099004145877551627027748891283957566026859920416984139488027506692912175325617889038404507022780458595270865049381420279209524979075396264437809444878787554238192138039031198981835697639058402009899 减去 13261955589475318753308980958435182616922905831015351444050494533312509010756375490958520845863725759086387552664739214251402218000635896969959420366494800836445520178642939314417801334276044804325376000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000，得到 271344901227908692620636811417647467542593450786330172962127560164635518636164888224613030366534897065999212807145687107107249554309126399901576315999132964082016300210593965028995574845545771899383099004145877551627027748891283957566026859920416984139488027506692912175325617889038404507022780458595270865049381420279209524979075396264437809444878787554238192138039031198981835697639058402009899。
示例
二次方程式
{ x } ^ { 2 } - 4 x - 5 = 0
三角学
4 \sin \theta \cos \theta = 2 \sin \theta
线性方程
y = 3x + 4
算术
699 * 533
矩阵
\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]
联立方程
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
微分
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
积分
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
限制
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}