1183. Найдите значения выражений xⁿ и x⁻ⁿ, если: а) x = 1/2, n = 2; б) x = −1/3, n = 3; в) x = 2/3, n = −2; г) x = −1,5, n = 3.

а) xⁿ = (1/2)² = 1/4; x⁻ⁿ = (1/2)⁻² = 4.

б) xⁿ = (−1/3)³ = −1/27; x⁻ⁿ = (−1/3)⁻³ = −27.

в) n = −2: xⁿ = (2/3)⁻² = 9/4; x⁻ⁿ = (2/3)² = 4/9.

г) −1,5 = −3/2: xⁿ = (−3/2)³ = −27/8; x⁻ⁿ = (−3/2)⁻³ = −8/27.

Ответ: а) 1/4 и 4; б) −1/27 и −27; в) 9/4 и 4/9; г) −27/8 и −8/27.