Exponents and powers · घातांक और घात
2⁵ = ? 3⁴ × 3² = ? 384,000,000 in standard form?
Exponents and powers games
Laws of exponents
| aᵐ × aⁿ = aᵐ⁺ⁿ | 2³ × 2⁴ = 2⁷ |
| aᵐ ÷ aⁿ = aᵐ⁻ⁿ | 5⁶ ÷ 5² = 5⁴ |
| (aᵐ)ⁿ = aᵐⁿ | (3²)³ = 3⁶ |
| aᵐ × bᵐ = (ab)ᵐ | 2³ × 5³ = 10³ |
| a⁰ = 1 | 7⁰ = 1 |
| a⁻ⁿ = 1/aⁿ | 2⁻³ = 1/8 |
(−a) to an even power is positive, to an odd power negative: (−2)⁴ = 16, (−2)³ = −8.
Standard form: a number between 1 and 10 × a power of 10. Distance to the Moon ≈ 384,000,000 m = 3.84 × 10⁸ m.
For Class 7 and 8 (NCERT Ganita Prakash 8, “Power Play”). All answers are computed by a program.
A one-page chart to stick on the wall, and a worksheet to practise.
Exponents and powers
Laws of exponents
| aᵐ × aⁿ = aᵐ⁺ⁿ | 2³ × 2⁴ = 2⁷ |
| aᵐ ÷ aⁿ = aᵐ⁻ⁿ | 5⁶ ÷ 5² = 5⁴ |
| (aᵐ)ⁿ = aᵐⁿ | (3²)³ = 3⁶ |
| aᵐ × bᵐ = (ab)ᵐ | 2³ × 5³ = 10³ |
| a⁰ = 1 | 7⁰ = 1 |
| a⁻ⁿ = 1/aⁿ | 2⁻³ = 1/8 |
(−a) to an even power is positive, to an odd power negative: (−2)⁴ = 16, (−2)³ = −8.
Standard form: a number between 1 and 10 × a power of 10. Distance to the Moon ≈ 384,000,000 m = 3.84 × 10⁸ m.
kheloaurseekho.in — free charts, games and worksheets
Exponents — worksheet
Name: ____________________ Class: ______ Date: __________
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