다음을 풀어보세요: (3546+10^-5)^9/505*10^25^12

$$\frac { ( 3546 + 10 ^ { - 5 } ) ^ { 9 } } { 505 * 10 ^ { 2 } 5 ^ { 12 } }$$

계산

$$\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{12329101562500000000000000000000000000000000000000000000000}\approx 7.189805837 \cdot 10^{18}$$

해답 단계

10의 -5제곱을 계산하여 \frac{1}{100000}을(를) 구합니다.

$$\frac{\left(3546+\frac{1}{100000}\right)^{9}}{505\times 10^{2}\times 5^{12}}$$

3546과(와) \frac{1}{100000}을(를) 더하여 \frac{354600001}{100000}을(를) 구합니다.

$$\frac{\left(\frac{354600001}{100000}\right)^{9}}{505\times 10^{2}\times 5^{12}}$$

\frac{354600001}{100000}의 9제곱을 계산하여 \frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000}을(를) 구합니다.

$$\frac{\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000}}{505\times 10^{2}\times 5^{12}}$$

10의 2제곱을 계산하여 100을(를) 구합니다.

$$\frac{\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000}}{505\times 100\times 5^{12}}$$

505과(와) 100을(를) 곱하여 50500(을)를 구합니다.

$$\frac{\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000}}{50500\times 5^{12}}$$

5의 12제곱을 계산하여 244140625을(를) 구합니다.

$$\frac{\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000}}{50500\times 244140625}$$

50500과(와) 244140625을(를) 곱하여 12329101562500(을)를 구합니다.

$$\frac{\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000}}{12329101562500}$$

\frac{\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000}}{12329101562500}을(를) 단일 분수로 표현합니다.

$$\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000\times 12329101562500}$$

1000000000000000000000000000000000000000000000과(와) 12329101562500을(를) 곱하여 12329101562500000000000000000000000000000000000000000000000(을)를 구합니다.

$$\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{12329101562500000000000000000000000000000000000000000000000}$$