Question

Simplify: 

1.  \((– 4)^3\) 
2. \((–3) × (–2)^3\) 
3.  \((–3)^2 × (–5)^2\) 
4.  \((–2)^3 × (–10)^3\)

Answer 1

(i) \((-4)^3 = (-4) \times (-4) \times (-4) = -64\)

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(ii) \((-3) \times (-2)^3 = (-3) \times (-2) \times (-2) \times (-2) = 24\)

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(iii) \((-3)^2 \times (-5)^2 = (-3) \times (-3) \times (-5) \times (-5) = 9 \times 25 = 225\)

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(iv) \((-2)^3 \times (-10)^3 = (-2) \times (-2) \times (-2) \times (-10) \times (-10) \times(-10)\) 
= \((-8) \times (-1000) = 8000\)