If x/y =[-1/3]-³ ÷[2/3]-⁴ , find the value of:
(a) [x/y]-¹ (b) [x/y + y/x)-¹
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Answer:
x/y =[-1/3]-³ ÷[2/3]-⁴
= -27/(81÷16)
x/y = -16/3
(a) [x/y]-¹ = -3/16
b) [x/y + y/x)-¹ = (-16/3 - 3/16)^(-1)
= ((-256-9)/48)^(-1)
= (-265/48)^(-1)
= -48/265
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