Question

Simplify:
(i) (−2) × (−3)³
(ii) (−3)² × (−5)³
(iii) (−2)⁵ × (−10)²

Answer 1

We know that if 'a' is natural number, then
(−a)^{even number} = Positive number
(−a)^{odd number} = Negative number

We have

(i) (−2) × (−3)³ = ( −2 )(−27) = 54 [since (−3)³ = −3 ×−3 × − 3 = −27]
(ii) (−3)² × ( −5)³ = 9 (−125) = −1125 [ since (−3)² = −3 ×− 3 = 9 and (−5 )³ = −5 ×−5 × − 5 = −125]
(iii) ( −2)⁵ × (−10)² = −32 × 100 = −3200 [ since (−2)⁵= −2 ×−2 × −2 ×−2 ×−2 = −32 and (−10)² = −10 ×− 10 = 100]