(81/16)-¾ × {[(9/25)³/²] ÷[(5/2)-³]}
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Step-by-step explanation:
{(81/16)^(-3/4)}×{(9/25)^(3/2)}÷{(5/2)^(-3)}
={(3/2)^(-3)}×{(3/5)^(3)}÷{(5/2)^(-3)}
={(2/3)^(3)}×{(3/5)^(3)}÷{(2/5)^(3)}
={(2/3)×(3/5)÷(2/5)}^(3)
={(2/5)÷(2/5)}^3
=(1)^3
=1
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