Power Play

When quantities multiply by a constant

When quantities multiply by a constant factor repeatedly, like paper thickness doubling with each fold. After n folds, thickness becomes original × 2ⁿ

Writing repeated multiplication in short form

Writing repeated multiplication in short form: n × n × n × n = n⁴. Here, n is the base and 4 is the exponent or power. Read as 'n raised to the power

Key rules

Key rules: nᵃ × nᵇ = nᵃ⁺ᵇ (multiplication), nᵃ ÷ nᵇ = nᵃ⁻ᵇ (division), (nᵃ)ᵇ = nᵃˣᵇ (power of power), n⁰ = 1 (zero exponent), n⁻ᵃ = 1/nᵃ (negative exp

Special importance of base 10

Special importance of base 10: 10¹ = 10, 10² = 100, 10³ = 1000, etc. Also 10⁻¹ = 0.1, 10⁻² = 0.01, etc. Used in place value system and scientific nota

Writing numbers as x × 10ʸ

Writing numbers as x × 10ʸ where 1 ≤ x < 10 and y is an integer. Example: 5900 = 5.9 × 10³, 0.0059 = 5.9 × 10⁻³.