다음을 풀어보세요: 4000(1+.044/4)^4(5)

$$4000 ( 1 + \frac { .044 } { 4 } ) ^ { 4 ( 5 ) }$$

계산

$$4978.323371133830101870227782125243658284214165724579503316804$$

해답 단계

분자와 분모 모두에 1000을(를) 곱하여 \frac{0.044}{4}을(를) 확장합니다.

$$4000\left(1+\frac{44}{4000}\right)^{4\times 5}$$

4을(를) 추출 및 상쇄하여 분수 \frac{44}{4000}을(를) 기약 분수로 약분합니다.

$$4000\left(1+\frac{11}{1000}\right)^{4\times 5}$$

1과(와) \frac{11}{1000}을(를) 더하여 \frac{1011}{1000}을(를) 구합니다.

$$4000\times \left(\frac{1011}{1000}\right)^{4\times 5}$$

4과(와) 5을(를) 곱하여 20(을)를 구합니다.

$$4000\times \left(\frac{1011}{1000}\right)^{20}$$

\frac{1011}{1000}의 20제곱을 계산하여 \frac{1244580842783457525467556945531310914571053541431144875829201}{1000000000000000000000000000000000000000000000000000000000000}을(를) 구합니다.

$$4000\times \frac{1244580842783457525467556945531310914571053541431144875829201}{1000000000000000000000000000000000000000000000000000000000000}$$

4000과(와) \frac{1244580842783457525467556945531310914571053541431144875829201}{1000000000000000000000000000000000000000000000000000000000000}을(를) 곱하여 \frac{1244580842783457525467556945531310914571053541431144875829201}{250000000000000000000000000000000000000000000000000000000}(을)를 구합니다.

$$\frac{1244580842783457525467556945531310914571053541431144875829201}{250000000000000000000000000000000000000000000000000000000}$$

인수 분해

$$\frac{3 ^ {20} \cdot 337 ^ {20}}{2 ^ {55} \cdot 5 ^ {57}} = 4978\frac{8.084278345755884 \times 10^{55}}{2.5 \times 10^{56}} = 4978.32337113383$$