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Gyaan Maths
CBSE · Class 6-10
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CBSE Maths · Class 7

Chapter 13: Exponents and Powers

Name: ________________________
Date: ______________
Marks: ____ / 10

Laws of exponents; expressing large numbers in standard form.

Questions

  1. 25⋅2−22^5 \cdot 2^{-2}.
  2. Simplify 5855\dfrac{5^8}{5^5}.
  3. Express 150000150000 in standard form.
  4. 23×242^3 \times 2^4.
  5. (32)3(3^2)^3.
  6. 505^0.
  7. 10−210^{-2}.
  8. 82/828^2 / 8^2.
  9. Express 5600000056000000 in standard form.
  10. (2×3)3(2\times 3)^3.

Extra Practice (Optional)

  • Value of 30+403^0 + 4^0.
  • Simplify (22⋅32)(2^2\cdot 3^2).
  • Express 0.000450.00045 in standard form.

Answer Key (For Teachers)

  1. Answer: 23=82^3 = 8.
    Working: 25−22^{5-2}.
  2. Answer: 125125.
    Working: 535^{3}.
  3. Answer: 1.5×1051.5\times 10^5.
    Working: 1.5×1051.5\times 10^5.
  4. Answer: 27=1282^7 = 128
    Working: Add exponents.
  5. Answer: 36=7293^6 = 729
    Working: Multiply exponents.
  6. Answer: 11
    Working: Any non-zero base to power 00.
  7. Answer: 0.010.01
    Working: 1/1021/10^2.
  8. Answer: 11
    Working: Subtract exponents: 808^0.
  9. Answer: 5.6×1075.6 \times 10^7
    Working: 5.6×1075.6 \times 10^7.
  10. Answer: 216216
    Working: =23⋅33= 2^3\cdot 3^3.
Gyaan Maths · CBSE Class 7 · Chapter 13
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026