NCERT Solutions for Class 8th Maths Chapter 2 Power Play

Updated on 2026-09-08

About this chapter

n a means n multiplied by itself a times. Here n is the base and a is the exponent (or power). 5 4 = 5 × 5 × 5 × 5 = 625. The five working rules: n a × n b = n a+b , (n a ) b = n ab , n a ÷ n b = n a–b , m a × n a = (mn) a and m a ÷ n a = (m ÷ n) a . n 0 = 1 and n –a = 1/n a (for n ≠ 0) are not extra rules — they are the only definitions that let n a ÷ n b = n a–b keep working when a = b or a Exponential growth multiplies by a fixed factor at each step; linear growth adds a fixed amount. 46 folds reach the Moon, while 192.2 crore ladder steps are needed to do the same job. Scientific notation writes a number as x × 10 y with 1 ≤ x Powers of 10 give names to huge quantities: lakh 10 5 , crore 10 7 , arab 10 9 , kharab 10 11 , neel 10 13 , padma 10 15 ; million 10 6 , billion 10 9 , trillion

  • .1 Experiencing the Power Play …
  • .2 Exponential Notation and Operations
  • .2 Exponential Notation and Operations · Magical Pond
  • .3 The Other Side of Powers
  • .3 The Other Side of Powers · Power Lines
  • .4 Powers of 10
  • .4 Powers of 10 · Scientific Notation
  • .5 Did You Ever Wonder?
  • .5 Did You Ever Wonder? · Getting a Sense for Large Numbers
  • .5 Did You Ever Wonder? · A different way to say your age!
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  1. .1 Experiencing the Power Play … — In-text Questions Page 192
  2. .1 Experiencing the Power Play … — In-text Questions Page 202
  3. .1 Experiencing the Power Play … — In-text Questions Page 212
  4. .2 Exponential Notation and Operations — In-text Questions Page 222
  5. .2 Exponential Notation and Operations — Figure it Out Page 22–232
  6. .2 Exponential Notation and Operations · The Stones that Shine … — In-text Questions Page 232
  7. .2 Exponential Notation and Operations — In-text Questions Page 242
  8. .2 Exponential Notation and Operations · Magical Pond — In-text Questions Page 252
  9. .2 Exponential Notation and Operations · How Many Combinations — In-text Questions Page 262
  10. .2 Exponential Notation and Operations · 2.3 The Other Side of Powers — In-text Questions Page 27–282
  11. .3 The Other Side of Powers — In-text Questions Page 282
  12. .3 The Other Side of Powers — In-text Questions Page 292
  13. .3 The Other Side of Powers · Power Lines — In-text Questions Page 302
  14. .4 Powers of 10 — In-text Questions Page 312
  15. .4 Powers of 10 · Scientific Notation — In-text Questions Page 322
  16. .5 Did You Ever Wonder? — In-text Questions Page 33–342
  17. .5 Did You Ever Wonder? · Linear Growth vs. Exponential Growth — In-text Questions Page 35–362
  18. .5 Did You Ever Wonder? · Getting a Sense for Large Numbers — In-text Questions Page 37–382
  19. .5 Did You Ever Wonder? · Getting a Sense for Large Numbers — In-text Questions Page 38–392
  20. .5 Did You Ever Wonder? · A different way to say your age! — In-text Questions Page 392
  21. .5 Did You Ever Wonder? — In-text Questions Page 402
  22. .5 Did You Ever Wonder? — In-text Questions Page 41–422
  23. .5 A Pinch of History — In-text Questions Page 432
  24. .5 A Pinch of History (chapter-end set) — Figure it Out Page 44–452
  25. Puzzle Time! Tremendous in Ten! — In-text Questions Page 47
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