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Question

Mathematics Question on Exponents

Simplify:

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

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

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

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

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