Løs {left({left({left({left({left({left(left(left(left(2^2right)^2right)^2right)^2right)}^{2}right)}^{2}right)}^2right)}^2right)}^2right)}^2

$${ \left( { \left( { \left( { \left( { \left( { \left( { \left( { \left( { \left( { 2 }^{ 2 } \right) }^{ 2 } \right) }^{ 2 } \right) }^{ 2 } \right) }^{ 2 } \right) }^{ 2 } \right) }^{ 2 } \right) }^{ 2 } \right) }^{ 2 } \right) }^{ 2 }$$

Evaluer

$$179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216$$

Løsningsvejledning

For at hæve en potens til en anden potens, skal du gange eksponenterne. Gang 2 og 2 for at få 4.

$$\left(\left(\left(\left(\left(\left(\left(\left(2^{4}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

For at hæve en potens til en anden potens, skal du gange eksponenterne. Gang 4 og 2 for at få 8.

$$\left(\left(\left(\left(\left(\left(\left(2^{8}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

For at hæve en potens til en anden potens, skal du gange eksponenterne. Gang 8 og 2 for at få 16.

$$\left(\left(\left(\left(\left(\left(2^{16}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

For at hæve en potens til en anden potens, skal du gange eksponenterne. Gang 16 og 2 for at få 32.

$$\left(\left(\left(\left(\left(2^{32}\right)^{2}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

For at hæve en potens til en anden potens, skal du gange eksponenterne. Gang 32 og 2 for at få 64.

$$\left(\left(\left(\left(2^{64}\right)^{2}\right)^{2}\right)^{2}\right)^{2}$$

For at hæve en potens til en anden potens, skal du gange eksponenterne. Gang 64 og 2 for at få 128.

$$\left(\left(\left(2^{128}\right)^{2}\right)^{2}\right)^{2}$$

For at hæve en potens til en anden potens, skal du gange eksponenterne. Gang 128 og 2 for at få 256.

$$\left(\left(2^{256}\right)^{2}\right)^{2}$$

For at hæve en potens til en anden potens, skal du gange eksponenterne. Gang 256 og 2 for at få 512.

$$\left(2^{512}\right)^{2}$$

Beregn 2 til potensen af 512, og få 13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096.

$$13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096^{2}$$

Beregn 13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096 til potensen af 2, og få 179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216.

$$179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216$$

Faktoriser

$$2^{1024}$$