Solve 13000/(1.0025)^36

$$\frac { 13000 } { ( 1.0025 ) ^ { 36 } }$$

Evaluate

$$\frac{61390764277305387778048000000000000000000000000000000000000000000000000000000000000000000000000000}{5166511665546359409205640119282930459344863435968401435395453987408152639163329938505060814401}\approx 11882.439884284$$

Solution Steps

Calculate 1.0025 to the power of 36 and get 1.094051400772864210962378773503788845722344046267210561612946063476746908130153968185247209061729552052356917446473971722298301756381988525390625.

$$\frac{13000}{1.094051400772864210962378773503788845722344046267210561612946063476746908130153968185247209061729552052356917446473971722298301756381988525390625}$$

Expand \frac{13000}{1.094051400772864210962378773503788845722344046267210561612946063476746908130153968185247209061729552052356917446473971722298301756381988525390625} by multiplying both numerator and the denominator by 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{13000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{1094051400772864210962378773503788845722344046267210561612946063476746908130153968185247209061729552052356917446473971722298301756381988525390625}$$

Reduce the fraction \frac{13000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{1094051400772864210962378773503788845722344046267210561612946063476746908130153968185247209061729552052356917446473971722298301756381988525390625} to lowest terms by extracting and canceling out 211758236813575084767080625169910490512847900390625.

$$\frac{61390764277305387778048000000000000000000000000000000000000000000000000000000000000000000000000000}{5166511665546359409205640119282930459344863435968401435395453987408152639163329938505060814401}$$

Factor

$$\frac{13 \cdot 2 ^ {147} \cdot 5 ^ {75}}{401 ^ {36}} = 11882\frac{2.272667283542628 \times 10^{93}}{5.166511665546359 \times 10^{93}} = 11882.439884283762$$