Oblicz: b) Przypuszczam,że 8 powinno być do potęgi (-3) !!! Poprawiony przykład (pomyłka nastapiła w końcówce to przez te małe potęgi, a ja noszę okulary. Przepraszam . Teraz jest dobrze. (1/64)^-3 * 8^ -3/ 2^5 = = 64³* (2³ )⁻³ / 2⁵ = = (2⁶)³ *2⁻⁹ / 2⁵ = = 2¹⁸*2⁻⁹ : 2⁵ = = 2⁹ : 2⁵= = 2⁴ = = 16 c) 25^-2/ 5^-4 - ( 3/5) ^-6 * ( 5/3) ^-7= = (5²)⁻² /5⁻⁴- (3/5)⁻⁶ * (5/3)⁻⁷ = = 5⁻⁴/5⁻⁴ - (3/5)⁻⁶ *(3/5)⁷ = = 5⁰ - (3/5)¹= = 1 - 3/5= = 5/5 - 3/5 = = 2/5 e) (125/16) ^-2 : ( 75/8) ^ -3 = = (5³/2⁴)⁻² : (3*5²/2³)⁻³ = 5⁻⁶ 3⁻³*5⁻⁶ = --------- : ------------ = 2⁻⁸ 2⁻⁹ 5⁻⁶ 2⁻⁹ = -------- * ------------ = 2⁻⁸ 3⁻³*5⁻⁶ 5⁻⁶ *2⁻⁹ ---------------- = 3⁻³*5⁻⁶*2⁻⁸ = (1/3)⁻³ *5⁰ *2⁻¹ = = 3³* 1* 1/2 = = 27/2 = = 13,5 f) (54/35)^3 * (81/49) ^-2 * (5/6)^-3 = (3³*2)³ (3⁴)⁻² 5⁻³ = -------------* ----------- * ----------- = ( 3³*5³) (7²)⁻² 6⁻³ 3⁹ *2³ 3⁻⁸ 5⁻³ = --------- * ------------ * ----------- = 3³ * 5³ 7⁻⁴ 2⁻³*3⁻³ 3⁹ *2³ *3⁻⁸ * 5⁻³ = ------------------------ = 3³* 5³* 7⁻⁴* 2⁻³*3⁻³ 3⁹ *3⁻⁸*2³ * 5⁻³ = ----------------------- = 3³ *3⁻³ *2⁻³* 5³ *7⁻⁴ 3¹ * 2³ * 5⁻³ = --------------------- = 3⁰ *2⁻³* 5³ * 7⁻⁴ = 3¹ * 2⁰ *5⁰: 7⁻⁴= = 3 * 1 * 1 : (7)⁻⁴= = 3 * (1/7)⁻ ⁴= = 3 * 7⁴= = 7203
