Simplify (4/3)-3× (4/3)-2 and express a rational number.

1.	Simplify (4/3)-3× (4/3)-2 and express a rational number.
Answer» (4/3)^-3× (4/3)^-2 We have, = (4/3)^{(-3+ (-2))} … [{(a/b)^m × (a/b)ⁿ} = (a/b)^m-n = (4/3)^(-3-2) = (4/3)^-5 = (3/4)⁵ = (3⁵/4⁵) = 243/1024

Answer»

(4/3)^-3× (4/3)^-2

We have,

= (4/3)^{(-3+ (-2))} … [{(a/b)^m × (a/b)ⁿ} = (a/b)^m-n

= (4/3)^(-3-2)

= (4/3)^-5

= (3/4)⁵

= (3⁵/4⁵)

= 243/1024

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