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Gyaan Maths
CBSE · Class 6-10
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CBSE Maths · Class 8

Chapter 12: Exponents and Powers

Name: ________________________
Date: ______________
Marks: ____ / 10

Integer exponents (positive and negative); laws of exponents; scientific notation.

Questions

  1. 4−24^{-2}.
  2. Simplify 23⋅2−5⋅242^3\cdot 2^{-5}\cdot 2^4.
  3. Express 3200032000 in scientific notation.
  4. 2−42^{-4}.
  5. (3−1)2(3^{-1})^2.
  6. 0.000450.00045 in scientific notation.
  7. (2/3)−2(2/3)^{-2}.
  8. 50+605^0 + 6^0.
  9. 10−310^{-3} as decimal.
  10. 23×2−12^3 \times 2^{-1}.

Extra Practice (Optional)

  • Value of 10010^0.
  • (2⋅3)2(2\cdot 3)^2 using identity.
  • Express 0.0000120.000012 in scientific notation.

Answer Key (For Teachers)

  1. Answer: 116\tfrac{1}{16}.
    Working: 1/161/16.
  2. Answer: 44.
    Working: 23−5+4=222^{3-5+4}=2^2.
  3. Answer: 3.2×1043.2\times 10^4.
    Working: Shift 44.
  4. Answer: 1/161/16
    Working: 1/161/16.
  5. Answer: 1/91/9
    Working: 3−2=1/93^{-2} = 1/9.
  6. Answer: 4.5×10−44.5\times 10^{-4}
    Working: 4.5×10−44.5\times 10^{-4}.
  7. Answer: 9/49/4
    Working: Flip: (3/2)2(3/2)^2.
  8. Answer: 22
    Working: Any nonzero 0=1^0 = 1.
  9. Answer: 0.0010.001
    Working: 0.0010.001.
  10. Answer: 22=42^2 = 4
    Working: Add exponents.
Gyaan Maths · CBSE Class 8 · Chapter 12
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026