The answer is: " 1 " .
________________________________
Note:
_______________________________________________
(40 ÷ 4 + 14) ¹⁰ = [ (40 ÷4) + 14 ] ¹⁰ = (10 + 14)¹⁰ = 24¹° ;
(96 ÷ 8) + (39 ÷ 3 −1 ) = (96 ÷ 8) + [ (39 ÷ 3) − 1 ] ;
= 12 + (13 − 1 ) = 12 + 12 = 24 ;
________________________________________________
(24³)⁻³ = 24⁽³ * ⁻³⁾ = 24⁻⁹ ;
___________________________________________
So we can rewrite the problem:
___________________________________________
24⁻⁹ * (24¹⁰ / 24) ;
___________________________________________
Note: " (24¹⁰ / 24) = (24¹⁰ / 24¹) = 24 ⁽¹⁰ ⁻ ¹⁾ = 24 ⁹ ;
___________________________________________
Rewrite the expression:
___________________________________________
24⁻⁹ * 24 ⁹ = 24 ⁽⁻⁹ ⁺ ⁹⁾ = 24⁰ = 1 .
___________________________________________
The answer is: " 1 " .
___________________________________________
