Pasadya: {(6 ^ 6) ^ 4 -: (6 ^ 7) ^ 0 xx [(6 ^ 2) ^ 3] ^ 2} ^ 2 -: {[(6 ^ 3) ^ 5xx (6 ^ 2) ^ 3] ^ 3: [(6 ^ 3) ^ 3] ^ 4} ^ 2?

$Pasadya: {(6 ^ 6) ^ 4 -: (6 ^ 7) ^ 0 xx [(6 ^ 2) ^ 3] ^ 2} ^ 2 -: {[(6 ^ 3) ^ 5xx (6 ^ 2) ^ 3] ^ 3: [(6 ^ 3) ^ 3] ^ 4} ^ 2?$

Sagot:

#6^18#

Paliwanag:

(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#

Pasadya (4 ^ (x + 2) -2 ^ (2x + 1)) / (8 ^ x (4 ^ (1-x)) at ipahayag ito sa anyo ab ^ (x-2), kung saan a at b ay integer?

(2 ^ 2) ^ (x + 2) -2 ^ (2x + 1)) / ((2 ^ 3) (x ^ a) ^ b = x ^ (ab). (2 ^ (2x + 4) -2 ^ (2x + 1) (2 ^ (2xx4)) / (2 ^ (3x) (2 ^ (2-2x))) Pasimplehin ang denamineytor gamit ang panuntunan na x ^ a (x ^ b) 2 ^ (2x + 1)) / (2 ^ (x + 2)) / 2 (2x + 1) 2 ^ (x + 2) -2 ^ (x-1) Factor out a 2 ^ (x 2) (x-2) (2 ^ 4-2) I-simplify at isulat sa form na ab ^ (x-2) 14 (2 ^ (x-2))