다음을 풀어보세요: 2000(1+.049/12)^12(8)

$$2000 ( 1 + \frac { .049 } { 12 } ) ^ { 12 ( 8 ) }$$

계산

$$\frac{59060404954602459057264725849759706476285134042690263935986471396848028569379477935895578915669838211187195945850276534527494952998493286546705068503277392776088619405722148166341483187610574386546765582800212366398482513158454847095404615855258643381409497096620211250732012633444770889819139622463848039284253443717006823171470117451997971075005778333742306026249669349226174007789312243201}{19969611912136996107833821275978214168984442801260957645259497108971231658230160663526482525483652087808000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\approx 2957.513907354$$

해답 단계

분자와 분모 모두에 1000을(를) 곱하여 \frac{0.049}{12}을(를) 확장합니다.

$$2000\left(1+\frac{49}{12000}\right)^{12\times 8}$$

1과(와) \frac{49}{12000}을(를) 더하여 \frac{12049}{12000}을(를) 구합니다.

$$2000\times \left(\frac{12049}{12000}\right)^{12\times 8}$$

12과(와) 8을(를) 곱하여 96(을)를 구합니다.

$$2000\times \left(\frac{12049}{12000}\right)^{96}$$

\frac{12049}{12000}의 96제곱을 계산하여 \frac{59060404954602459057264725849759706476285134042690263935986471396848028569379477935895578915669838211187195945850276534527494952998493286546705068503277392776088619405722148166341483187610574386546765582800212366398482513158454847095404615855258643381409497096620211250732012633444770889819139622463848039284253443717006823171470117451997971075005778333742306026249669349226174007789312243201}{39939223824273992215667642551956428337968885602521915290518994217942463316460321327052965050967304175616000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}을(를) 구합니다.

$$2000\times \frac{59060404954602459057264725849759706476285134042690263935986471396848028569379477935895578915669838211187195945850276534527494952998493286546705068503277392776088619405722148166341483187610574386546765582800212366398482513158454847095404615855258643381409497096620211250732012633444770889819139622463848039284253443717006823171470117451997971075005778333742306026249669349226174007789312243201}{39939223824273992215667642551956428337968885602521915290518994217942463316460321327052965050967304175616000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

2000과(와) \frac{59060404954602459057264725849759706476285134042690263935986471396848028569379477935895578915669838211187195945850276534527494952998493286546705068503277392776088619405722148166341483187610574386546765582800212366398482513158454847095404615855258643381409497096620211250732012633444770889819139622463848039284253443717006823171470117451997971075005778333742306026249669349226174007789312243201}{39939223824273992215667642551956428337968885602521915290518994217942463316460321327052965050967304175616000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}을(를) 곱하여 \frac{59060404954602459057264725849759706476285134042690263935986471396848028569379477935895578915669838211187195945850276534527494952998493286546705068503277392776088619405722148166341483187610574386546765582800212366398482513158454847095404615855258643381409497096620211250732012633444770889819139622463848039284253443717006823171470117451997971075005778333742306026249669349226174007789312243201}{19969611912136996107833821275978214168984442801260957645259497108971231658230160663526482525483652087808000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}(을)를 구합니다.

$$\frac{59060404954602459057264725849759706476285134042690263935986471396848028569379477935895578915669838211187195945850276534527494952998493286546705068503277392776088619405722148166341483187610574386546765582800212366398482513158454847095404615855258643381409497096620211250732012633444770889819139622463848039284253443717006823171470117451997971075005778333742306026249669349226174007789312243201}{19969611912136996107833821275978214168984442801260957645259497108971231658230160663526482525483652087808000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

인수 분해

$$\frac{12049 ^ {96}}{2 ^ {476} \cdot 3 ^ {96} \cdot 5 ^ {285}} = NaN$$