Express (-3)-1× (1/3)-1 as a rational number.

1.	Express (-3)-1× (1/3)-1 as a rational number.
Answer» (-3)^-1× (1/3)^-1 We know that, = (-3)^-1= (-1/3)¹… [∵ (a/b)^-n = (b/a)ⁿ] = (1/3)^-1 = (3/1)¹ … [∵ (a/b)^-n = (b/a)ⁿ] = (-1/3) × (3/1) = (-1×3)/ (3×1) = (-3/3) = -1

Answer»

(-3)^-1× (1/3)^-1

We know that,

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

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

= (-1/3) × (3/1)

= (-1×3)/ (3×1)

= (-3/3)

= -1

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