Simplify (4/9)6× (4/9)-4 and express a rational number.

1.	Simplify (4/9)6× (4/9)-4 and express a rational number.
Answer» (4/9)⁶× (4/9)^-4 We have, = (4/9)^{(6+ (-4))} … [{(a/b)^m × (a/b)ⁿ} = (a/b)^m-n = (4/9)^(6-4) = (4/9)² = (4²/9²) = (16/81)

Answer»

(4/9)⁶× (4/9)^-4

We have,

= (4/9)^{(6+ (-4))} … [{(a/b)^m × (a/b)ⁿ} = (a/b)^m-n

= (4/9)^(6-4)

= (4/9)²

= (4²/9²)

= (16/81)

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