Lutasin ang left(111111111^2right)^left(2^2right)^2

$${ \left( { 111111111 }^{ 2 } \right) }^{ { \left( { 2 }^{ 2 } \right) }^{ 2 } }$$

I-evaluate

$$291232396556189435074567831329386972450954523916340519866486047150669094960561024224940246109135493344764854211953905685734600950011383201127797747378082966723304161612131777338064134517583475781525546060624290650872819904629806237902464989778647628372837121$$

Mga Hakbang ng Solution

Para mag-raise ng power ng numero gamit ang ibang power, i-multiply ang mga exponent. I-multiply ang 2 at 2 para makuha ang 4.

$$\left(111111111^{2}\right)^{2^{4}}$$

Kalkulahin ang 111111111 sa power ng 2 at kunin ang 12345678987654321.

$$12345678987654321^{2^{4}}$$

Kalkulahin ang 2 sa power ng 4 at kunin ang 16.

$$12345678987654321^{16}$$

Kalkulahin ang 12345678987654321 sa power ng 16 at kunin ang 291232396556189435074567831329386972450954523916340519866486047150669094960561024224940246109135493344764854211953905685734600950011383201127797747378082966723304161612131777338064134517583475781525546060624290650872819904629806237902464989778647628372837121.

$$291232396556189435074567831329386972450954523916340519866486047150669094960561024224940246109135493344764854211953905685734600950011383201127797747378082966723304161612131777338064134517583475781525546060624290650872819904629806237902464989778647628372837121$$

I-factor

$$3^{64}\times 37^{32}\times 333667^{32}$$