Los 1989100^24div15^8 op

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

Evalueren

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

Oplossingsstappen

Bereken 1989100 tot de macht van 24 en krijg 14714950902650972814290593158242850328494364637844952578916437608807863822252848683942973542285637732961000000000000000000000000000000000000000000000000.

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

Bereken 15 tot de macht van 8 en krijg 2562890625.

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

Vereenvoudig de breuk \frac{14714950902650972814290593158242850328494364637844952578916437608807863822252848683942973542285637732961000000000000000000000000000000000000000000000000}{2562890625} tot de kleinste termen door 390625 af te trekken en weg te strepen.

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

Factoriseren

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