Lutasin ang (3546+10^-5)^9/505*10^25^12

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

I-evaluate

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

Mga Hakbang ng Solution

Kalkulahin ang 10 sa power ng -5 at kunin ang \frac{1}{100000}.

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

Idagdag ang 3546 at \frac{1}{100000} para makuha ang \frac{354600001}{100000}.

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

Kalkulahin ang \frac{354600001}{100000} sa power ng 9 at kunin ang \frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000}.

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

Kalkulahin ang 10 sa power ng 2 at kunin ang 100.

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

I-multiply ang 505 at 100 para makuha ang 50500.

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

Kalkulahin ang 5 sa power ng 12 at kunin ang 244140625.

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

I-multiply ang 50500 at 244140625 para makuha ang 12329101562500.

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

Ipakita ang \frac{\frac{88643846374063778992669503139207124783046594447907591722092750681763191400001}{1000000000000000000000000000000000000000000000}}{12329101562500} bilang isang single fraction.

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

I-multiply ang 1000000000000000000000000000000000000000000000 at 12329101562500 para makuha ang 12329101562500000000000000000000000000000000000000000000000.

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