Вычислите: a) (-3/2)² + (1 1/4)²; б) -2⁻⁶ 1/72 + (-6/11)⁰

Вычислим:

а) (-3/2)² + (1 1/4)² = (-3/2)² + (5/4)² = 9/4 + 25/16 = (9*4)/(4*4) + 25/16 = 36/16 + 25/16 = 61/16 = 3 13/16

б) -2⁻⁶ - 1/72 + (-6/11)⁰ = -1/2⁶ - 1/72 + 1 = -1/64 - 1/72 + 1 = (-9 - 8)/(64 * 9) + 1 = -17/576 + 1 = (-17 + 576)/576 = 559/576

Ответ: a) 3 13/16; б) 559/576