Question

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

Answer 1

(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)