PROPIEDADES DE LA POTENCIACION

1. mⁿ . m^b = m^n+b

Ej: 5⁸ . 5⁴ = 5⁸⁺⁴ = 5¹²

· 7⁸⁺⁹ . 7⁴ . 7⁹ = 7¹⁷ . 7¹³ = 7³⁰

· 12⁴ . 12⁵ = 12⁹

2. (m^x)^y = m^xy

Ej: (5²)³ = 5^2.3 = 5⁶ = 15625

· (9⁴)⁵ = 9^4.5 = 9²⁰

· [(1/8)²]⁵ = (1/8)¹⁰ = 1¹⁰/8¹⁰

3. m^x/m^y = m^{x – y}

ej: 2⁵/2³ = 2^{5 – 3} = 2² = 4

· 8²/8⁴ = 8^{2 – 4} = 8^-2 = 1/8² = 1/64

· 6⁴⁽²⁾/6^{8 – 3} = 6⁸/6⁵ = 6^{8 – 5} = 6³ = 216

4. (mn)^x =m^x n^x

Ej: (5x)³= 5³x³ =125x³

· (9x)² = 9²x² =81x²

· (4x)³ = 4³x³ =64x³