(2-1 – 4-1)2(a) 4 (b) -4 (c) (1/16) (d) (-1/16)

1.	(2-1 – 4-1)2(a) 4 (b) -4 (c) (1/16) (d) (-1/16)
Answer» (c) (1/16) We know that, = (2)^-1= (1/2)¹… [∵ (a/b)^-n = (b/a)ⁿ] = (4)^-1 = (1/4)¹ … [∵ (a/b)^-n = (b/a)ⁿ] Now subtract, = {(1/2) – (1/4)}² = {(2-1)/4}² … [LCM of 2 and 4 is 4] = {1/4}² = {1²/4²} = {1/16}

Answer»

(c) (1/16)

We know that,

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

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

Now subtract,

= {(1/2) – (1/4)}²

= {(2-1)/4}² … [LCM of 2 and 4 is 4]

= {1/4}²

= {1²/4²}

= {1/16}

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