Lutasin ang 51.1^52-1/1.1-1

$$5 \frac{ { 1.1 }^{ 52 } -1 }{ 1.1-1 }$$

I-evaluate

$$7052.146599221566648653323007416678356308419408727415605$$

Mga Hakbang ng Solution

Kalkulahin ang 1.1 sa power ng 52 at kunin ang 142.0429319844313329730664601483335671261683881745483121.

$$5\times \frac{142.0429319844313329730664601483335671261683881745483121-1}{1.1-1}$$

I-subtract ang 1 mula sa 142.0429319844313329730664601483335671261683881745483121 para makuha ang 141.0429319844313329730664601483335671261683881745483121.

$$5\times \frac{141.0429319844313329730664601483335671261683881745483121}{1.1-1}$$

I-subtract ang 1 mula sa 1.1 para makuha ang 0.1.

$$5\times \frac{141.0429319844313329730664601483335671261683881745483121}{0.1}$$

I-expand ang \frac{141.0429319844313329730664601483335671261683881745483121}{0.1} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 10000000000000000000000000000000000000000000000000000.

$$5\times \frac{1410429319844313329730664601483335671261683881745483121}{1000000000000000000000000000000000000000000000000000}$$

Ipakita ang 5\times \frac{1410429319844313329730664601483335671261683881745483121}{1000000000000000000000000000000000000000000000000000} bilang isang single fraction.

$$\frac{5\times 1410429319844313329730664601483335671261683881745483121}{1000000000000000000000000000000000000000000000000000}$$

I-multiply ang 5 at 1410429319844313329730664601483335671261683881745483121 para makuha ang 7052146599221566648653323007416678356308419408727415605.

$$\frac{7052146599221566648653323007416678356308419408727415605}{1000000000000000000000000000000000000000000000000000}$$

Bawasan ang fraction \frac{7052146599221566648653323007416678356308419408727415605}{1000000000000000000000000000000000000000000000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 5.

$$\frac{1410429319844313329730664601483335671261683881745483121}{200000000000000000000000000000000000000000000000000}$$