(1+1/99)^99=2 260540724700546454685624188742389118808662471436517795139480055152894859089444953157178699979743534544118042220903346919761140006461011281096756859612711971163857878664681397230000440001681599000202/369729637649726772657187905628805440595668764281741102430259972423552570455277523421410650010128232727940978889548326540119429996769494359451621570193644014418071060667659301384999779999159200499899

asked by guest
on Feb 02, 2025 at 10:28 am



You asked:

Investigate the equation: (1+199)99=2260540724700546454685624188742389118808662471436517795139480055152894859089444953157178699979743534544118042220903346919761140006461011281096756859612711971163857878664681397230000440001681599000202369729637649726772657187905628805440595668764281741102430259972423552570455277523421410650010128232727940978889548326540119429996769494359451621570193644014418071060667659301384999779999159200499899{\left( 1 + \frac{1}{99} \right)}^{99} = 2\frac{260540724700546454685624188742389118808662471436517795139480055152894859089444953157178699979743534544118042220903346919761140006461011281096756859612711971163857878664681397230000440001681599000202}{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:

(1+199)99=1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000369729637649726772657187905628805440595668764281741102430259972423552570455277523421410650010128232727940978889548326540119429996769494359451621570193644014418071060667659301384999779999159200499899{\left( 1 + \frac{1}{99} \right)}^{99} = \frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{369729637649726772657187905628805440595668764281741102430259972423552570455277523421410650010128232727940978889548326540119429996769494359451621570193644014418071060667659301384999779999159200499899}

The right-hand side of the equation is:

2260540724700546454685624188742389118808662471436517795139480055152894859089444953157178699979743534544118042220903346919761140006461011281096756859612711971163857878664681397230000440001681599000202369729637649726772657187905628805440595668764281741102430259972423552570455277523421410650010128232727940978889548326540119429996769494359451621570193644014418071060667659301384999779999159200499899=10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003697296376497267726571879056288054405956687642817411024302599724235525704552775234214106500101282327279409788895483265401194299967694943594516215701936440144180710606676593013849997799991592004998992\frac{260540724700546454685624188742389118808662471436517795139480055152894859089444953157178699979743534544118042220903346919761140006461011281096756859612711971163857878664681397230000440001681599000202}{369729637649726772657187905628805440595668764281741102430259972423552570455277523421410650010128232727940978889548326540119429996769494359451621570193644014418071060667659301384999779999159200499899} = \frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{369729637649726772657187905628805440595668764281741102430259972423552570455277523421410650010128232727940978889548326540119429996769494359451621570193644014418071060667659301384999779999159200499899}

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