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Question

Mathematics Question on Exponents

Simplify:

  1. 2×1032 × 10^3
  2. 72×227^ 2 × 2^2
  3. 23×52^ 3 × 5
  4. 3×443 × 4^4
  5. 0×1020 × 10^2
  6. 52×335^ 2 × 3^3
  7. 24×322^ 4 × 3^2
  8. 32×1043^ 2 × 10^4
Answer

(i) 2×103=2×10×10×10=2×1000=20002 \times 10^3 = 2 \times 10 \times 10 \times 10 = 2 \times 1000 = 2000

(ii) 72×22=7×7×2×2=49×4=1967^2 \times 2^2 = 7 \times 7 \times 2 \times 2 = 49 \times 4 = 196

(iii) 23×5=2×2×2×5=8×5=4023 \times 5 = 2 \times 2 \times 2 \times 5 = 8 \times 5 = 40

(iv) 3×44=3×4×4×4×4=3×256=7683 \times 44 = 3 \times 4 \times 4 \times 4 \times 4 = 3 \times 256 = 768

(v) 0×102=0×10×10=00 \times 10^2 = 0 \times 10 \times 10 = 0

(vi) 52×33=5×5×3×3×3=25×27=6755^2 \times 3^3 = 5 \times 5 \times 3 \times 3 \times 3 = 25 \times 27 = 675

(vii) 24×32=2×2×2×2×3×3=16×9=1442^4 \times 3^2 = 2 \times 2 \times 2 \times 2 \times 3 \times 3 = 16 \times 9 = 144

(viii) 32×104=3×3×10×10×10×10=9×10000=900003^2 \times 10^4 = 3 \times 3 \times 10 \times 10 \times 10 \times 10 = 9 \times 10000 = 90000