Solve 25,000*0.002/1.002^96-1

$$\frac { 25,000 \cdot 0.002 } { 1.002 ^ { 96 } - 1 }$$

Evaluate

$$\frac{631088724176809444329382852226228983738565148087218403816223144531250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{2668725381373699255491805378094318486750794554035568273564111025572606664094406211661826377825374541066428546085941251062425746894125326611809975300458331242325628560496038501263857471075987660609014783100691010621542866946637696969915756415084640361140048001}\approx 236.47570806$$

Solution Steps

Multiply 25000 and 0.002 to get 50.

$$\frac{50}{1.002^{96}-1}$$

Calculate 1.002 to the power of 96 and get 1.211438208221417517624607548253508428404824131202180276718090175131761410847511786378098261122485667161781373375966446855748119121394281671750696871466053768433134799608409085440489794893293836829020404843280989866608879706146714493865932197717681721398237013655002691131370092046200078336.

$$\frac{50}{1.211438208221417517624607548253508428404824131202180276718090175131761410847511786378098261122485667161781373375966446855748119121394281671750696871466053768433134799608409085440489794893293836829020404843280989866608879706146714493865932197717681721398237013655002691131370092046200078336-1}$$

Subtract 1 from 1.211438208221417517624607548253508428404824131202180276718090175131761410847511786378098261122485667161781373375966446855748119121394281671750696871466053768433134799608409085440489794893293836829020404843280989866608879706146714493865932197717681721398237013655002691131370092046200078336 to get 0.211438208221417517624607548253508428404824131202180276718090175131761410847511786378098261122485667161781373375966446855748119121394281671750696871466053768433134799608409085440489794893293836829020404843280989866608879706146714493865932197717681721398237013655002691131370092046200078336.

$$\frac{50}{0.211438208221417517624607548253508428404824131202180276718090175131761410847511786378098261122485667161781373375966446855748119121394281671750696871466053768433134799608409085440489794893293836829020404843280989866608879706146714493865932197717681721398237013655002691131370092046200078336}$$

Expand \frac{50}{0.211438208221417517624607548253508428404824131202180276718090175131761410847511786378098261122485667161781373375966446855748119121394281671750696871466053768433134799608409085440489794893293836829020404843280989866608879706146714493865932197717681721398237013655002691131370092046200078336} by multiplying both numerator and the denominator by 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{211438208221417517624607548253508428404824131202180276718090175131761410847511786378098261122485667161781373375966446855748119121394281671750696871466053768433134799608409085440489794893293836829020404843280989866608879706146714493865932197717681721398237013655002691131370092046200078336}$$

Reduce the fraction \frac{50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{211438208221417517624607548253508428404824131202180276718090175131761410847511786378098261122485667161781373375966446855748119121394281671750696871466053768433134799608409085440489794893293836829020404843280989866608879706146714493865932197717681721398237013655002691131370092046200078336} to lowest terms by extracting and canceling out 79228162514264337593543950336.

$$\frac{631088724176809444329382852226228983738565148087218403816223144531250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{2668725381373699255491805378094318486750794554035568273564111025572606664094406211661826377825374541066428546085941251062425746894125326611809975300458331242325628560496038501263857471075987660609014783100691010621542866946637696969915756415084640361140048001}$$