{(3/4)-1 – (1/4)-1}-1 = ?(a) (3/8) (b) (-3/8) (c) (8/3) (d) (-8/3)

1.	{(3/4)-1 – (1/4)-1}-1 = ?(a) (3/8) (b) (-3/8) (c) (8/3) (d) (-8/3)
Answer» (b) (-3/8) We know that, = (3/4)^-1= (4/3)¹… [∵ (a/b)^-n = (b/a)ⁿ] = (1/4)^-1 = (4/1)¹ … [∵ (a/b)^-n = (b/a)ⁿ] Now subtract, = {(4/3) – (4/1)}^-1 = {(4-12)/3}^-1 … [LCM of 3 and 1 is 3] = {-8/3}^-1 = {-3/8}

Answer»

(b) (-3/8)

We know that,

= (3/4)^-1= (4/3)¹… [∵ (a/b)^-n = (b/a)ⁿ]

= (1/4)^-1 = (4/1)¹ … [∵ (a/b)^-n = (b/a)ⁿ]

Now subtract,

= {(4/3) – (4/1)}^-1

= {(4-12)/3}^-1 … [LCM of 3 and 1 is 3]

= {-8/3}^-1

= {-3/8}

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