Riješi 1989100^24div15^8

$${ 1989100 }^{ 24 } \div { 15 }^{ 8 }$$

Izračunaj

$$\frac{37670274310786490404583918485101696840945573472883078602026080278548131384967292630894012268251232596380160000000000000000000000000000000000000000}{6561}\approx 5,741544629 \cdot 10^{141}$$

Koraci rješenja

Izračunajte koliko je 24 na 1989100 da biste dobili 14714950902650972814290593158242850328494364637844952578916437608807863822252848683942973542285637732961000000000000000000000000000000000000000000000000.

$$\frac{14714950902650972814290593158242850328494364637844952578916437608807863822252848683942973542285637732961000000000000000000000000000000000000000000000000}{15^{8}}$$

Izračunajte koliko je 8 na 15 da biste dobili 2562890625.

$$\frac{14714950902650972814290593158242850328494364637844952578916437608807863822252848683942973542285637732961000000000000000000000000000000000000000000000000}{2562890625}$$

Skratite razlomak \frac{14714950902650972814290593158242850328494364637844952578916437608807863822252848683942973542285637732961000000000000000000000000000000000000000000000000}{2562890625} na najmanje vrijednosti tako da izlučite i poništite 390625.

$$\frac{37670274310786490404583918485101696840945573472883078602026080278548131384967292630894012268251232596380160000000000000000000000000000000000000000}{6561}$$

Faktor

$$\frac{2 ^ {48} \cdot 5 ^ {40} \cdot 19891 ^ {24}}{3 ^ {8}} = 5,741544628987423 \times 10^{141}\frac{6548}{6561} = 5,741544628987423 \times 10^{141}$$