Question

simplify (18 divided by 16)-¾ ×[(25 divided by 9)-³/² ÷(5 divided by 2)-³]

Answer 1

(18/16) ^-3/4 × (25/9)^-3/2 / (5/2)^-3. =(16/18)^3/4 × (9/25)^3/2 / (2/5)^3. =(2^3/18^3/4) × (3/5)^3 / 8/125
=8/18^3/4 × 27/125 / 8/125
=8/18^3/4 × 27/125 × 125/8
=8/18^3/4 × 27/8
=27/18^3/4

Answer 2

(18/16)-3/4×[(25/9)-3/2÷(5/2)-3]
(9/8)-3/4×[25/9-3/2÷5/2-3]
9/8-3/4×[25/9-3/2×2/5-3]
9/8-3/4×(25/9-3/5-3)
9/8-3/4×(125-27-135)/45
9/8-3/4×(-37/45)
9/8+111/180
(405+222)/360
627/360
209/120