Simplify (3/2)4 × (1/5)2 and express a rational number.

1.	Simplify (3/2)4 × (1/5)2 and express a rational number.
Answer» (3/2)⁴ × (1/5)² We have, (3⁴/2⁴) = (3×3×3×3)/ (2×2×2×2) = (81/16) (1²/5²) = (1×1)/ (5×5) = (1/25) Then, = (81/16) × (1/25) = (81×1) / (16/25) = (81/400)

Answer»

(3/2)⁴ × (1/5)²

We have,

(3⁴/2⁴) = (3×3×3×3)/ (2×2×2×2) = (81/16)

(1²/5²) = (1×1)/ (5×5) = (1/25)

Then,

= (81/16) × (1/25)

= (81×1) / (16/25)

= (81/400)

Discussion