Datrys {l}{x={(5/3)}^2*{(3/5)}^-3}{y=x^-2}{z=y}{a=z}{b=a}{c=b}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { x = {(\frac{5}{3})} ^ {2} \cdot {(\frac{3}{5})} ^ {-3} }\\ { y = x ^ {-2} }\\ { z = y }\\ { a = z }\\ { b = a }\\ { c = b }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

Datrys ar gyfer x, y, z, a, b, c, d

$$d=\frac{59049}{9765625}\approx 0.006046618$$

Camau Ateb

Ystyriwch yr hafaliad cyntaf. Cyfrifo \frac{5}{3} i bŵer 2 a chael \frac{25}{9}.

$$x=\frac{25}{9}\times \left(\frac{3}{5}\right)^{-3}$$

Cyfrifo \frac{3}{5} i bŵer -3 a chael \frac{125}{27}.

$$x=\frac{25}{9}\times \frac{125}{27}$$

Lluosi \frac{25}{9} a \frac{125}{27} i gael \frac{3125}{243}.

$$x=\frac{3125}{243}$$

Ystyriwch yr ail hafaliad. Mewnosod y gwerthoedd sy’n hysbys i’r hafaliad.

$$y=\left(\frac{3125}{243}\right)^{-2}$$

Cyfrifo \frac{3125}{243} i bŵer -2 a chael \frac{59049}{9765625}.

$$y=\frac{59049}{9765625}$$

Ystyriwch y trydydd hafaliad. Mewnosod y gwerthoedd sy’n hysbys i’r hafaliad.

$$z=\frac{59049}{9765625}$$

Ystyriwch y pedwaredd hafaliad. Mewnosod y gwerthoedd sy’n hysbys i’r hafaliad.

$$a=\frac{59049}{9765625}$$

Ystyriwch y pumed hafaliad. Mewnosod y gwerthoedd sy’n hysbys i’r hafaliad.

$$b=\frac{59049}{9765625}$$

Ystyriwch yr hafaliad (6). Mewnosod y gwerthoedd sy’n hysbys i’r hafaliad.

$$c=\frac{59049}{9765625}$$

Ystyriwch yr hafaliad (7). Mewnosod y gwerthoedd sy’n hysbys i’r hafaliad.

$$d=\frac{59049}{9765625}$$

Mae’r system wedi’i datrys nawr.

$$x=\frac{3125}{243} y=\frac{59049}{9765625} z=\frac{59049}{9765625} a=\frac{59049}{9765625} b=\frac{59049}{9765625} c=\frac{59049}{9765625} d=\frac{59049}{9765625}$$