다음을 풀어보세요: 1500000*(1+6/100)^30

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

계산

$$\frac{16047128959316527795784472485009960772040366899769947}{1862645149230957031250000000000000000000000000}=8615236.759369875$$

해답 단계

2을(를) 추출 및 상쇄하여 분수 \frac{6}{100}을(를) 기약 분수로 약분합니다.

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

1과(와) \frac{3}{50}을(를) 더하여 \frac{53}{50}을(를) 구합니다.

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

\frac{53}{50}의 30제곱을 계산하여 \frac{5349042986438842598594824161669986924013455633256649}{931322574615478515625000000000000000000000000000000}을(를) 구합니다.

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

1500000과(와) \frac{5349042986438842598594824161669986924013455633256649}{931322574615478515625000000000000000000000000000000}을(를) 곱하여 \frac{16047128959316527795784472485009960772040366899769947}{1862645149230957031250000000000000000000000000}(을)를 구합니다.

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

인수 분해

$$\frac{3 \cdot 53 ^ {30}}{2 ^ {25} \cdot 5 ^ {54}} = 8615236\frac{1.414436613662292 \times 10^{45}}{1.8626451492309573 \times 10^{45}} = 8615236.759369874$$