Question

Find the value of the following:
(a) (-1/2)2 × 23 × (3/4)2 (b) (-3/5)4 × (4/9)4 × (-15/18)2

Answer 1

a ) ( 1 / 2 ) ² × 23 × ( 3 / 4 ) ²

1 / 4 × 23 × ( 3 / 4 ) ²

23 / 4 × ( 3 / 4 ) ²

23 / 4 × ( 9 / 16 )

23 × 9 / 4 × 16

b ) ( - 3 / 5 ) ⁴ × ( 4 / 9 ) ⁴ × ( - 15 / 18 ) ²

81 / 625 × ( 4 / 9 ) ⁴ ( - 15 / 18 ) ²

81 / 625 × ( 256 / 6561 ) ( - 15 / 18 ) ²

256 / 50625 ( - 15 / 18 ) ²

256 / 50625 ( - 5 / 6 ) ²

256 / 50625 × ( 25 / 36 )

64 / 18225

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