left(3546+10^-5right)^9/left(505*10^2right)^12 хәл итегез

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

Исәпләгез

$$\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{275103767122062920083301025390625000000000000000000000000000000000000000000000000000000000000000000000}\approx 3.222196748 \cdot 10^{-25}$$

Чишү адымнары

-5'ның куәтен 10 исәпләгез һәм \frac{1}{100000} алыгыз.

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

\frac{354600001}{100000} алу өчен, 3546 һәм \frac{1}{100000} өстәгез.

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

9'ның куәтен \frac{354600001}{100000} исәпләгез һәм \frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000} алыгыз.

$$\frac{\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000}}{\left(505\times 10^{2}\right)^{12}}$$

2'ның куәтен 10 исәпләгез һәм 100 алыгыз.

$$\frac{\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000}}{\left(505\times 100\right)^{12}}$$

50500 алу өчен, 505 һәм 100 тапкырлагыз.

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

12'ның куәтен 50500 исәпләгез һәм 275103767122062920083301025390625000000000000000000000000 алыгыз.

$$\frac{\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000}}{275103767122062920083301025390625000000000000000000000000}$$

\frac{\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000}}{275103767122062920083301025390625000000000000000000000000} бер вакланма буларак чагылдыру.

$$\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000\times 275103767122062920083301025390625000000000000000000000000}$$

275103767122062920083301025390625000000000000000000000000000000000000000000000000000000000000000000000 алу өчен, 1000000000000000000000000000000000000000000000 һәм 275103767122062920083301025390625000000000000000000000000 тапкырлагыз.

$$\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{275103767122062920083301025390625000000000000000000000000000000000000000000000000000000000000000000000}$$