Ответы на вопрос:
1. 5²¹ * 5 ⁻²³= 5²¹⁺⁽⁻²³⁾ = 5⁻² = 1/5² = 1/25 = 0.04 3⁻⁸ / 3⁻⁹ = 3⁻⁸⁻⁽⁻⁹⁾ = 3⁻⁸⁺⁹ = 3¹ = 3 (2²)⁻³ = 2²*⁽⁻³⁾ = 2⁻⁶ = 1/2⁶ = 1/64 2. (a⁻³)⁵ * a¹⁸ = a⁻³*⁵ ⁺¹⁸ = a⁻¹⁵⁺¹⁸ = a³ 2.4x⁻⁸y⁵ * 5x⁹y⁻⁷ = (2.4 * 5) * x⁻⁸⁺⁹ *y⁵⁺⁽⁻⁷⁾ = 12x¹ y⁻² = 12xy⁻² 3. (1/4 * x⁻²y⁻³) ⁻² = (2⁻² x⁻²y⁻³)⁻² = 2⁴x⁴y⁶ = 16x⁴y⁶ (5x⁻¹ /3y⁻²) * 15x³y = (5* x⁻¹ * (3 * 5 ) * x³ *y¹ ) / (3y⁻²) = = (5² * 3¹ * x⁻¹⁺³ y¹)/(3¹*y⁻²) = 5² * 3¹⁻¹ *x² * y¹⁻⁽⁻²⁾ = 25x²y³ 4. (4 ⁻⁶ * 16)/(64⁻⁵) = (4⁻⁶ * 4²) / (4³)⁻⁵ = 4⁻⁶⁺²⁻⁽⁻¹⁵⁾ = 4⁻⁴⁺¹⁵ = 4¹¹ 5. (2.5 * 10⁷) * (6.2 * 10⁻¹⁰) = (2.5*6.2) * 10⁷⁺⁽⁻¹⁰⁾ = 15.5 * 10⁻³ 6. (x ⁻¹ - y )(x - y ⁻¹)⁻¹ = (1/x - y )(x - 1/y) ⁻¹ = = ( (1-xy)/x ) * ( (xy - 1)/y ) ⁻¹ = = (1-xy)/x * y/(xy - 1) = = (1 - xy)/x * ( - y/(1 -xy) ) = = - y/x = - yx⁻¹ думаю,
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