Выполни возведение алгебраических дробей в степень и умножение дробей. Вычисли \boldsymbol{\left(\dfrac{m^2}{n^3p}\right)^3 \cdot \dfrac{n^5p^6}{m^4}.} \textcolor{white}{\boxed{\textcolor{black}{\dfrac{m^2p^3}{n^4}}}} \textcolor{white}{\boxed{\textcolor{black}{m^2p^3n^4}}} \textcolor{white}{\boxed{\textcolor{black}{\dfrac{n^4}{m^2p^3}}}} \textcolor{white}{\boxed{\textcolor{black}{m^3p^2n^3}}} \space Вычисли \boldsymbol{\bigg(\dfrac{c^3}{a^4b^5}\bigg)^2 \cdot \dfrac{a^{15}b^{18}}{c^4}.} \textcolor{white}{\boxed{\textcolor{black}{a^2b^7c}}} \textcolor{white}{\boxed{\textcolor{black}{a^7b^8c^2}}} \textcolor{white}{\boxed{\textcolor{black}{\dfrac{ab^2}{c^2}}}} \textcolor{white}{\boxed{\textcolor{black}{\dfrac{c^2}{ab^2}}}} \space Вычисли \boldsymbol{\bigg(\dfrac{x^3y^4}{z^5}\bigg)^2 \cdot \dfrac{z^5}{x^5y^6}.} \textcolor{white}{\boxed{\textcolor{black}{\dfrac{x^5}{xy^2}}}} \textcolor{white}{\boxed{\textcolor{black}{\dfrac{xy^2}{z^5}}}} \textcolor{white}{\boxed{\textcolor{black}{\dfrac{x^5}{x^2y}}}} \textcolor{white}{\boxed{\textcolor{black}{\dfrac{x^2y}{z}}}} \space Вычисли \boldsymbol{\dfrac{a^7}{b^6} \cdot \bigg(\dfrac{2}{a^3b^4}\bigg)^2.} \textcolor{white}{\boxed{\textcolor{black}{\dfrac{b^{14}}{4a}}}} \textcolor{white}{\boxed{\textcolor{black}{\dfrac{4a}{b^{14}}}}} \textcolor{white}{\boxed{\textcolor{black}{\dfrac{14a^2}{b}}}} \textcolor{white}{\boxed{\textcolor{black}{\dfrac{14a}{b}}}} \space
Задание

Выбери верные ответы

Выполни возведение алгебраических дробей в степень и умножение дробей.

Вычисли \(\boldsymbol{\left(\dfrac{m^2}{n^3p}\right)^3 \cdot \dfrac{n^5p^6}{m^4}.}\)

  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{m^2p^3}{n^4}}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{m^2p^3n^4}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{n^4}{m^2p^3}}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{m^3p^2n^3}}}\)

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Вычисли \(\boldsymbol{\bigg(\dfrac{c^3}{a^4b^5}\bigg)^2 \cdot \dfrac{a^{15}b^{18}}{c^4}.}\)

  • \(\textcolor{white}{\boxed{\textcolor{black}{a^2b^7c}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{a^7b^8c^2}}} \)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{ab^2}{c^2}}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{c^2}{ab^2}}}}\)
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Вычисли \(\boldsymbol{\bigg(\dfrac{x^3y^4}{z^5}\bigg)^2 \cdot \dfrac{z^5}{x^5y^6}.}\)

  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{x^5}{xy^2}}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{xy^2}{z^5}}}} \)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{x^5}{x^2y}}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{x^2y}{z}}}}\)
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Вычисли \(\boldsymbol{\dfrac{a^7}{b^6} \cdot \bigg(\dfrac{2}{a^3b^4}\bigg)^2.}\)

  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{b^{14}}{4a}}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{4a}{b^{14}}}}} \)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{14a^2}{b}}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{14a}{b}}}}\)
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