((99 98/99)^99)/99=10000498320105570704436941904869374303669959629924599891269175711961091619592587577955638369322859994611903133979587134905213501078140929323068936146831732145442383671251171301155538725885618909124 2700836840204238907363652315260573891942611063251517693544650006471755699253024305805963151087212057578774274728940111739761002240637557690354384336698935072262644192652078768058884455313877439800975/36603234127322950493061602657251738618971207663892369140595737269931704475072474818719654351002695040066156910065284327471823569680179941585710535449170757427389035006098270837114978219916760849490001

asked by guest
on Oct 21, 2024 at 3:34 am



You asked:

Investigate the equation: \(\frac{{99\frac{98}{99}}^{99}}{99} = 10000498320105570704436941904869374303669959629924599891269175711961091619592587577955638369322859994611903133979587134905213501078140929323068936146831732145442383671251171301155538725885618909124\frac{2700836840204238907363652315260573891942611063251517693544650006471755699253024305805963151087212057578774274728940111739761002240637557690354384336698935072262644192652078768058884455313877439800975}{36603234127322950493061602657251738618971207663892369140595737269931704475072474818719654351002695040066156910065284327471823569680179941585710535449170757427389035006098270837114978219916760849490001}\).

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:

\[\frac{{99\frac{98}{99}}^{99}}{99} = \frac{366050581400724061714797525393235387976840987107500280595589515457142388477206262680830087682369554216808148048575589418223210459212100594678860900740844376854646486974027697141464393067808318477858758758825787660541303804288234495881970588873152559550803933838869081559114201544030374098959675050626485219687354223250866529665141137897174202705525860333375395675683707572652653852965114805470099}{36603234127322950493061602657251738618971207663892369140595737269931704475072474818719654351002695040066156910065284327471823569680179941585710535449170757427389035006098270837114978219916760849490001}\]

The right-hand side of the equation is:

\[10000498320105570704436941904869374303669959629924599891269175711961091619592587577955638369322859994611903133979587134905213501078140929323068936146831732145442383671251171301155538725885618909124\frac{2700836840204238907363652315260573891942611063251517693544650006471755699253024305805963151087212057578774274728940111739761002240637557690354384336698935072262644192652078768058884455313877439800975}{36603234127322950493061602657251738618971207663892369140595737269931704475072474818719654351002695040066156910065284327471823569680179941585710535449170757427389035006098270837114978219916760849490001} = \frac{366050581400724061714797525393235387976840987107500280595589515457142388477206262680830087682369554216808148048575589418223210459212100594678860900740844376854646486974027697141464393067808318477858758758825787660541303804288234495881970588873152559550803933838869081559114201544030374098959675050626485219687354223250866529665141137897174202705525860333375395675683707572652653852965114805470099}{36603234127322950493061602657251738618971207663892369140595737269931704475072474818719654351002695040066156910065284327471823569680179941585710535449170757427389035006098270837114978219916760849490001}\]

+ Submit Question