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¿Cómo vas a descomponer esta ((3x^2y^5)/(5z^6))/((25z^5)/(9x^2y^6))^3 expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src]
/   2  5\ 
|3*x *y | 
|-------| 
|     6 | 
\  5*z  / 
----------
         3
/     5 \ 
| 25*z  | 
|-------| 
|   2  6| 
\9*x *y / 
$$\frac{\frac{1}{5 z^{6}} \cdot 3 x^{2} y^{5}}{\left(\frac{25 z^{5}}{9 x^{2} y^{6}}\right)^{3}}$$
(((3*x^2)*y^5)/((5*z^6)))/((25*z^5)/(((9*x^2)*y^6)))^3
Simplificación general [src]
      8  23
2187*x *y  
-----------
        21 
 78125*z   
$$\frac{2187 x^{8} y^{23}}{78125 z^{21}}$$
2187*x^8*y^23/(78125*z^21)
Respuesta numérica [src]
0.0279936*x^8*y^23/z^21
0.0279936*x^8*y^23/z^21
Potencias [src]
      8  23
2187*x *y  
-----------
        21 
 78125*z   
$$\frac{2187 x^{8} y^{23}}{78125 z^{21}}$$
2187*x^8*y^23/(78125*z^21)
Denominador común [src]
      8  23
2187*x *y  
-----------
        21 
 78125*z   
$$\frac{2187 x^{8} y^{23}}{78125 z^{21}}$$
2187*x^8*y^23/(78125*z^21)
Denominador racional [src]
      8  23
2187*x *y  
-----------
        21 
 78125*z   
$$\frac{2187 x^{8} y^{23}}{78125 z^{21}}$$
2187*x^8*y^23/(78125*z^21)
Parte trigonométrica [src]
      8  23
2187*x *y  
-----------
        21 
 78125*z   
$$\frac{2187 x^{8} y^{23}}{78125 z^{21}}$$
2187*x^8*y^23/(78125*z^21)
Compilar la expresión [src]
      8  23
2187*x *y  
-----------
        21 
 78125*z   
$$\frac{2187 x^{8} y^{23}}{78125 z^{21}}$$
2187*x^8*y^23/(78125*z^21)
Unión de expresiones racionales [src]
      8  23
2187*x *y  
-----------
        21 
 78125*z   
$$\frac{2187 x^{8} y^{23}}{78125 z^{21}}$$
2187*x^8*y^23/(78125*z^21)
Abrimos la expresión [src]
      8  23
2187*x *y  
-----------
        21 
 78125*z   
$$\frac{2187 x^{8} y^{23}}{78125 z^{21}}$$
2187*x^8*y^23/(78125*z^21)
Combinatoria [src]
      8  23
2187*x *y  
-----------
        21 
 78125*z   
$$\frac{2187 x^{8} y^{23}}{78125 z^{21}}$$
2187*x^8*y^23/(78125*z^21)