Simplify (2/3)2 × (-3/5)3 × (7/2)2 and express a rational number.

1.	Simplify (2/3)2 × (-3/5)3 × (7/2)2 and express a rational number.
Answer» (2/3)² × (-3/5)³× (7/2)² We have, (2²/3²) = (2×2)/ (3×3) = (4/9) (-3/5)³= (-3×-3×-3) / (5×5×5) = (-27/125) (7²/2²) = (7×7)/ (2×2) = (49/4) Then, = (4/9) × (-27/125) × (49/4) = (4×-27×49) / (9× 125×4) On simplifying, = (1×-3×49) / (1×125×1) = (-147/125)

Answer»

(2/3)² × (-3/5)³× (7/2)²

We have,

(2²/3²) = (2×2)/ (3×3) = (4/9)

(-3/5)³= (-3×-3×-3) / (5×5×5) = (-27/125)

(7²/2²) = (7×7)/ (2×2) = (49/4)

Then,

= (4/9) × (-27/125) × (49/4)

= (4×-27×49) / (9× 125×4)

On simplifying,

= (1×-3×49) / (1×125×1)

= (-147/125)

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