Question

ME AYUDANN CON ESTOO PORFAA ES PARA HOYY

Answer 1

¡Hola!

La respuesta es:

$\frac{2542708}{59049}$

Solución:

$\frac{\left(3\left(\frac{21}{60}\cdot \frac{6}{3}-\frac{6}{5}\right)+4\right)-\left(\frac{3}{4}\right)\left(\frac{3}{4}\right)^2\left(\frac{3}{4}\right)^6}{\left(\left(\frac{3}{4}\right)^3\left(\frac{3}{4}\right)^2\right)^2}$

$\frac{3\left(\frac{21}{60}\cdot \frac{6}{3}-\frac{6}{5}\right)+4-\frac{3}{4}\left(\frac{3}{4}\right)^2\left(\frac{3}{4}\right)^6}{\left(\left(\frac{3}{4}\right)^3\left(\frac{3}{4}\right)^2\right)^2}$

$\frac{3\left(\frac{6}{3}\cdot \frac{21}{60}-\frac{6}{5}\right)+4-\left(\frac{3}{4}\right)^9}{\left(\left(\frac{3}{4}\right)^3\left(\frac{3}{4}\right)^2\right)^2}$

$\frac{3\left(\frac{6}{3}\cdot \frac{21}{60}-\frac{6}{5}\right)+4-\left(\frac{3}{4}\right)^9}{\left(\left(\frac{3}{4}\right)^5\right)^2}$

$\frac{3\left(\frac{6}{3}\cdot \frac{21}{60}-\frac{6}{5}\right)+4-\left(\frac{3}{4}\right)^9}{\frac{3^{10}}{4^{10}}}$

$\frac{-\frac{3}{2}+4-\left(\frac{3}{4}\right)^9}{\frac{3^{10}}{4^{10}}}$

$\frac{\left(-\frac{3}{2}+4-\left(\frac{3}{4}\right)^9\right)\cdot \:4^{10}}{3^{10}}$

$\frac{4^{10}\left(4-\frac{3}{2}-\frac{3^9}{4^9}\right)}{3^{10}}$

$\frac{4^{10}\left(4-\frac{3}{2}-\frac{19683}{262144}\right)}{3^{10}}$

$\frac{4^{10}\cdot \frac{635677}{262144}}{3^{10}}$

$\frac{1048576\cdot \frac{635677}{262144}}{3^{10}}$

$\frac{1048576\cdot \frac{635677}{262144}}{59049}$

$\frac{2542708}{59049}$

Espero haberte ayudado.

¡Saludos!.