Løs 1500000*(1+6/100)^30

$$1500000 \times ( 1 + \frac { 6 } { 100 } ) ^ { 30 }$$

Evaluer

$$\frac{16047128959316527795784472485009960772040366899769947}{1862645149230957031250000000000000000000000000}=8615236,759369875$$

Løsningsvejledning

Reducer fraktionen \frac{6}{100} til de laveste led ved at udtrække og annullere 2.

$$1500000\left(1+\frac{3}{50}\right)^{30}$$

Tilføj 1 og \frac{3}{50} for at få \frac{53}{50}.

$$1500000\times \left(\frac{53}{50}\right)^{30}$$

Beregn \frac{53}{50} til potensen af 30, og få \frac{5349042986438842598594824161669986924013455633256649}{931322574615478515625000000000000000000000000000000}.

$$1500000\times \frac{5349042986438842598594824161669986924013455633256649}{931322574615478515625000000000000000000000000000000}$$

Multiplicer 1500000 og \frac{5349042986438842598594824161669986924013455633256649}{931322574615478515625000000000000000000000000000000} for at få \frac{16047128959316527795784472485009960772040366899769947}{1862645149230957031250000000000000000000000000}.

$$\frac{16047128959316527795784472485009960772040366899769947}{1862645149230957031250000000000000000000000000}$$

Faktoriser

$$\frac{3 \cdot 53 ^ {30}}{2 ^ {25} \cdot 5 ^ {54}} = 8615236\frac{1,414436613662292 \times 10^{45}}{1,8626451492309573 \times 10^{45}} = 8615236,759369874$$