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

1 Answer
Apr 26, 2016

#6^18#

Explanation:

#{(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#