z^0-3^-1+5^0-z^-1= eching

$$z ^ { 0 } - 3 ^ { - 1 } + 5 ^ { 0 } - z ^ { - 1 } =$$

Baholash

$$\frac{5}{3}-\frac{1}{z}$$

Yechim qadamlari

0 daraja ko‘rsatkichini z ga hisoblang va 1 ni qiymatni oling.

$$1-3^{-1}+5^{0}-z^{-1}$$

-1 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{3} ni qiymatni oling.

$$1-\frac{1}{3}+5^{0}-z^{-1}$$

\frac{2}{3} olish uchun 1 dan \frac{1}{3} ni ayirish.

$$\frac{2}{3}+5^{0}-z^{-1}$$

0 daraja ko‘rsatkichini 5 ga hisoblang va 1 ni qiymatni oling.

$$\frac{2}{3}+1-z^{-1}$$

\frac{5}{3} olish uchun \frac{2}{3} va 1'ni qo'shing.

$$\frac{5}{3}-z^{-1}$$

Omil

$$\frac{5z-3}{3z}$$