ແກ້ (3546+10^-5)^9/505*10^25^12

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

ປະເມີນ

$$\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{12329101562500000000000000000000000000000000000000000000000}\approx 7,189805837 \cdot 10^{18}$$

ຂັ້ນຕອນການແກ້

ຄຳນວນ 10 ກຳລັງ -5 ແລະ ໄດ້ \frac{1}{100000}.

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

ເພີ່ມ 3546 ແລະ \frac{1}{100000} ເພື່ອໃຫ້ໄດ້ \frac{354600001}{100000}.

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

ຄຳນວນ \frac{354600001}{100000} ກຳລັງ 9 ແລະ ໄດ້ \frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000}.

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

ຄຳນວນ 10 ກຳລັງ 2 ແລະ ໄດ້ 100.

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

ຄູນ 505 ກັບ 100 ເພື່ອໃຫ້ໄດ້ 50500.

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

ຄຳນວນ 5 ກຳລັງ 12 ແລະ ໄດ້ 244140625.

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

ຄູນ 50500 ກັບ 244140625 ເພື່ອໃຫ້ໄດ້ 12329101562500.

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

ສະແດງ \frac{\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000}}{12329101562500} ເປັນໜຶ່ງເສດສ່ວນ.

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

ຄູນ 1000000000000000000000000000000000000000000000 ກັບ 12329101562500 ເພື່ອໃຫ້ໄດ້ 12329101562500000000000000000000000000000000000000000000000.

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