ដោះស្រាយ M=9^{-2^{2}}*9^{(-2)^{2}*9^{-2^{2^{2}}}*9^{2^{(-2)^2}}*9^2^2^0}

$$M = 9 ^ { - 2 ^ { 2 } } \cdot 9 ^ { ( - 2 ) ^ { 2 } \cdot 9 ^ { - 2 ^ { 2 ^ { 2 } } } \cdot 9 ^ { 2 ^ { ( - 2 ) ^ { 2 } } } \cdot 9 ^ { 2 ^ { 2 ^ { 0 } } } }$$

ដោះស្រាយសម្រាប់ M

$$M=227825861182900204487926163254208870201769978356428036221706558661607687977185749264584650783143108160792377891873308886306706850459123338011190895923705000376577729402891616048151369267252375988442315730579445584361719023528399440428651198470683264566951628130091486700352935020754795437899820617563660801$$

ជំហានសម្រាប់ការដោះស្រាយសមីការលីនេអ៊ែរ

គណនាស្វ័យគុណ 2 នៃ 2 ហើយបាន 4។

$$M=9^{-4}\times 9^{\left(-2\right)^{2}\times 9^{-2^{2^{2}}}\times 9^{2^{\left(-2\right)^{2}}}\times 9^{2^{2^{0}}}}$$

គណនាស្វ័យគុណ 9 នៃ -4 ហើយបាន \frac{1}{6561}។

$$M=\frac{1}{6561}\times 9^{\left(-2\right)^{2}\times 9^{-2^{2^{2}}}\times 9^{2^{\left(-2\right)^{2}}}\times 9^{2^{2^{0}}}}$$

គណនាស្វ័យគុណ -2 នៃ 2 ហើយបាន 4។

$$M=\frac{1}{6561}\times 9^{4\times 9^{-2^{2^{2}}}\times 9^{2^{\left(-2\right)^{2}}}\times 9^{2^{2^{0}}}}$$

គណនាស្វ័យគុណ 2 នៃ 2 ហើយបាន 4។

$$M=\frac{1}{6561}\times 9^{4\times 9^{-2^{4}}\times 9^{2^{\left(-2\right)^{2}}}\times 9^{2^{2^{0}}}}$$

គណនាស្វ័យគុណ 2 នៃ 4 ហើយបាន 16។

$$M=\frac{1}{6561}\times 9^{4\times 9^{-16}\times 9^{2^{\left(-2\right)^{2}}}\times 9^{2^{2^{0}}}}$$

គណនាស្វ័យគុណ 9 នៃ -16 ហើយបាន \frac{1}{1853020188851841}។

$$M=\frac{1}{6561}\times 9^{4\times \frac{1}{1853020188851841}\times 9^{2^{\left(-2\right)^{2}}}\times 9^{2^{2^{0}}}}$$

គុណ 4 និង \frac{1}{1853020188851841} ដើម្បីបាន \frac{4}{1853020188851841}។

$$M=\frac{1}{6561}\times 9^{\frac{4}{1853020188851841}\times 9^{2^{\left(-2\right)^{2}}}\times 9^{2^{2^{0}}}}$$

គណនាស្វ័យគុណ -2 នៃ 2 ហើយបាន 4។

$$M=\frac{1}{6561}\times 9^{\frac{4}{1853020188851841}\times 9^{2^{4}}\times 9^{2^{2^{0}}}}$$

គណនាស្វ័យគុណ 2 នៃ 4 ហើយបាន 16។

$$M=\frac{1}{6561}\times 9^{\frac{4}{1853020188851841}\times 9^{16}\times 9^{2^{2^{0}}}}$$

គណនាស្វ័យគុណ 9 នៃ 16 ហើយបាន 1853020188851841។

$$M=\frac{1}{6561}\times 9^{\frac{4}{1853020188851841}\times 1853020188851841\times 9^{2^{2^{0}}}}$$

គុណ \frac{4}{1853020188851841} និង 1853020188851841 ដើម្បីបាន 4។

$$M=\frac{1}{6561}\times 9^{4\times 9^{2^{2^{0}}}}$$

គណនាស្វ័យគុណ 2 នៃ 0 ហើយបាន 1។

$$M=\frac{1}{6561}\times 9^{4\times 9^{2^{1}}}$$

គណនាស្វ័យគុណ 2 នៃ 1 ហើយបាន 2។

$$M=\frac{1}{6561}\times 9^{4\times 9^{2}}$$

គណនាស្វ័យគុណ 9 នៃ 2 ហើយបាន 81។

$$M=\frac{1}{6561}\times 9^{4\times 81}$$

គុណ 4 និង 81 ដើម្បីបាន 324។

$$M=\frac{1}{6561}\times 9^{324}$$

គណនាស្វ័យគុណ 9 នៃ 324 ហើយបាន 1494765475221008241645283557110864397393812827996524345650616731378808040818315700924939893788201932642958791348580779603058303645862308220691423468155428507470726482612371892891921133762442838860170033508331742478997238513369828728652380513166152898823769632161530244241015606671172212868060723071835178515361។

$$M=\frac{1}{6561}\times 1494765475221008241645283557110864397393812827996524345650616731378808040818315700924939893788201932642958791348580779603058303645862308220691423468155428507470726482612371892891921133762442838860170033508331742478997238513369828728652380513166152898823769632161530244241015606671172212868060723071835178515361$$

គុណ \frac{1}{6561} និង 1494765475221008241645283557110864397393812827996524345650616731378808040818315700924939893788201932642958791348580779603058303645862308220691423468155428507470726482612371892891921133762442838860170033508331742478997238513369828728652380513166152898823769632161530244241015606671172212868060723071835178515361 ដើម្បីបាន 227825861182900204487926163254208870201769978356428036221706558661607687977185749264584650783143108160792377891873308886306706850459123338011190895923705000376577729402891616048151369267252375988442315730579445584361719023528399440428651198470683264566951628130091486700352935020754795437899820617563660801។

$$M=227825861182900204487926163254208870201769978356428036221706558661607687977185749264584650783143108160792377891873308886306706850459123338011190895923705000376577729402891616048151369267252375988442315730579445584361719023528399440428651198470683264566951628130091486700352935020754795437899820617563660801$$

កំណត់ M

$$M≔227825861182900204487926163254208870201769978356428036221706558661607687977185749264584650783143108160792377891873308886306706850459123338011190895923705000376577729402891616048151369267252375988442315730579445584361719023528399440428651198470683264566951628130091486700352935020754795437899820617563660801$$