Simplify (81/16)3/4 × [(25/9)-3/2÷(5/2)^--3)
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Answer:
[(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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