Simplificați: {(6 ^ 6) ^ -: (6 ^ 7) ^ 0 xx [(6 ^ 2) ^ 3 ^ ^ 2 ^ ^ 3] ^ 3: [(6 ^ 3) ^ 3 ^ ^ 4 ^

Răspuns:

#6^18#

Explicaţie:

# {(6 ^ 6) ^ 4 -:(6 ^ 7) ^ 0XX (6 ^ 2) ^ 3 ^ 2} ^ 2 -: {(6 ^ 3) ^ 5xx (6 ^ 2) ^ 3 ^ 3 - (6 ^ 3) ^ 3 ^ 4 ^ 2} #

= # {6 ^ (24) -: 6 ^ 0xx6 ^ (12)} ^ 2 -: {6 ^ (15) xx6 ^ 6 ^ 3 - 6 ^ 9 ^ 4 ^ 2} #

= #{6^(24-0+12)}^2-:{6^(15+6)^3-:6^36}^2#

= #{6^(36)}^2-:{6^(21)^3-:6^36}^2#

= #6^(72)-:{6^(63)-:6^36}^2#

= #6^(72)-:{6^(63-36)}^2#

= #6^(72)-:{6^(27)}^2#

= #6^(72)-:6^(54)#

= #6^(72-54)#

= #6^18#