다음을 풀어보세요: 8000({left(1+.10/4right)}^4*8

$$8000( { \left(1+ \frac{ .10 }{ 4 } \right) }^{ 4 \times 8 }$$

계산

$$17630.055502182457021287162311143369465069400673479242842855985173855515313334763050079345703125$$

해답 단계

분자와 분모 모두에 10을(를) 곱하여 \frac{0.1}{4}을(를) 확장합니다.

$$8000\left(1+\frac{1}{40}\right)^{4\times 8}$$

1과(와) \frac{1}{40}을(를) 더하여 \frac{41}{40}을(를) 구합니다.

$$8000\times \left(\frac{41}{40}\right)^{4\times 8}$$

4과(와) 8을(를) 곱하여 32(을)를 구합니다.

$$8000\times \left(\frac{41}{40}\right)^{32}$$

\frac{41}{40}의 32제곱을 계산하여 \frac{4065214023175683899921868126254722311886802750234881}{1844674407370955161600000000000000000000000000000000}을(를) 구합니다.

$$8000\times \frac{4065214023175683899921868126254722311886802750234881}{1844674407370955161600000000000000000000000000000000}$$

8000과(와) \frac{4065214023175683899921868126254722311886802750234881}{1844674407370955161600000000000000000000000000000000}을(를) 곱하여 \frac{4065214023175683899921868126254722311886802750234881}{230584300921369395200000000000000000000000000000}(을)를 구합니다.

$$\frac{4065214023175683899921868126254722311886802750234881}{230584300921369395200000000000000000000000000000}$$

인수 분해

$$\frac{41 ^ {32}}{2 ^ {90} \cdot 5 ^ {29}} = 17630\frac{1.2797931941781906 \times 10^{46}}{2.3058430092136937 \times 10^{47}} = 17630.05550218246$$