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

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

វាយតម្លៃ

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

ជំហានចម្លើយ

គណនាស្វ័យគុណ 10 នៃ -5 ហើយបាន \frac{1}{100000}។

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

បូក 3546 និង \frac{1}{100000} ដើម្បីបាន \frac{354600001}{100000}។

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

គណនាស្វ័យគុណ \frac{354600001}{100000} នៃ 9 ហើយបាន \frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000}។

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

គណនាស្វ័យគុណ 10 នៃ 2 ហើយបាន 100។

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

គុណ 505 និង 100 ដើម្បីបាន 50500។

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

គណនាស្វ័យគុណ 50500 នៃ 12 ហើយបាន 275103767122062920083301025390625000000000000000000000000។

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

បង្ហាញ \frac{\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000}}{275103767122062920083301025390625000000000000000000000000} ជាប្រភាគទោល។

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

គុណ 1000000000000000000000000000000000000000000000 និង 275103767122062920083301025390625000000000000000000000000 ដើម្បីបាន 275103767122062920083301025390625000000000000000000000000000000000000000000000000000000000000000000000។

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