Express {(3/2)-1 ÷ (-2/5)-1} as a rational number.

1.	Express {(3/2)-1 ÷ (-2/5)-1} as a rational number.
Answer» {(3/2)^-1 ÷ (-2/5)^-1} We know that, = (3/2)^-1= (2/3)¹… [∵ (a/b)^-n = (b/a)ⁿ] = (-2/5)^-1 = (-5/2)¹ … [∵ (a/b)^-n = (b/a)ⁿ] Now divide, = {(2/3) ÷ (-5/2)} = {(2/3) × (-2/5} = {(2×-2) / (3×5) = {-4/15}

Answer»

{(3/2)^-1 ÷ (-2/5)^-1}

We know that,

= (3/2)^-1= (2/3)¹… [∵ (a/b)^-n = (b/a)ⁿ]

= (-2/5)^-1 = (-5/2)¹ … [∵ (a/b)^-n = (b/a)ⁿ]

Now divide,

= {(2/3) ÷ (-5/2)}

= {(2/3) × (-2/5}

= {(2×-2) / (3×5)

= {-4/15}

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