Question

Reduce la expresión : AYUDA PLISSS

Answer 1

Respuesta:

18y^5

Explicación paso a paso:

\frac{1}{6x^5y^{-2}}\left(3x^{-1}y^3\right)^3\left(-2x^4y^{-3}\right)^2

\frac{1}{6x^5y^{-2}}\cdot \frac{3^3y^9}{x^3}\left(-2x^4y^{-3}\right)^2

=\frac{1}{6x^5y^{-2}}\cdot \frac{3^3y^9}{x^3}\cdot \frac{2^2x^8}{y^6}

\frac{y^2}{6x^5}\cdot \frac{3^3y^9}{x^3}\cdot \frac{2^2x^8}{y^6}

\frac{3^3y^9\cdot \:2^2x^8y^2}{x^3y^6\cdot \:6x^5}

\frac{3^3\cdot \:2^2x^8y^{11}}{6x^5x^3y^6}

\frac{3^3\cdot \:2^2x^8y^{11}}{6x^8y^6}

=\frac{3^3\cdot \:2^2y^5}{6}

=\frac{3^3\cdot \:2^2y^5}{2\cdot \:3}

3^2\cdot \:2y^5

=18y^5