Simplify: (4² − 9² )³ + ( 9² − 16² ) 3 + (16² − 4² )³ divided by (2 − 3)³ +
(3 − 4 )³ + (4 − 2 )³
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Step-by-step explanation:
[(81/16)⁻³/⁴×(25/9)⁻³/²]/(5/2)⁻³
=[(3⁴/2⁴)⁻³/⁴×(5²/3²)⁻³/²]/(5/2)⁻³
=[(3/2)⁻³×(5/3)⁻³]/(5/2)⁻³
=(3⁻³×5⁻³×2⁻³)/(2⁻³×3⁻³×5⁻³)
=1
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