Вопрос:

6. Упростите выражение 128x^2y^3 ⋅ (−1/4 xy^5)^3.

Ответ:

128x^2y^3 ⋅ (−1/4 xy^5)^3 = 128x^2y^3 ⋅ (−1/4)^3 ⋅ x^3 ⋅ y^(5*3) = 128x^2y^3 ⋅ −1/64 ⋅ x^3 ⋅ y^15 = −128/64 ⋅ x^(2+3) ⋅ y^(3+15) = −2x^5y^18.
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