1/(-5)-5/(-5)^2-25/(-5)^3-125/(-5)^4 eching

$$\frac { 1 } { ( - 5 ) } - \frac { 5 } { ( - 5 ) ^ { 2 } } - \frac { 25 } { ( - 5 ) ^ { 3 } } - \frac { 125 } { ( - 5 ) ^ { 4 } }$$

Baholash

$$-\frac{2}{5}=-0,4$$

Yechim qadamlari

\frac{1}{-5} kasri manfiy belgini olib tashlash bilan -\frac{1}{5} sifatida qayta yozilishi mumkin.

$$-\frac{1}{5}-\frac{5}{\left(-5\right)^{2}}-\frac{25}{\left(-5\right)^{3}}-\frac{125}{\left(-5\right)^{4}}$$

2 daraja ko‘rsatkichini -5 ga hisoblang va 25 ni qiymatni oling.

$$-\frac{1}{5}-\frac{5}{25}-\frac{25}{\left(-5\right)^{3}}-\frac{125}{\left(-5\right)^{4}}$$

\frac{5}{25} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{1}{5}-\frac{1}{5}-\frac{25}{\left(-5\right)^{3}}-\frac{125}{\left(-5\right)^{4}}$$

-\frac{1}{5} va \frac{1}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-1-1}{5}-\frac{25}{\left(-5\right)^{3}}-\frac{125}{\left(-5\right)^{4}}$$

-2 olish uchun -1 dan 1 ni ayirish.

$$-\frac{2}{5}-\frac{25}{\left(-5\right)^{3}}-\frac{125}{\left(-5\right)^{4}}$$

3 daraja ko‘rsatkichini -5 ga hisoblang va -125 ni qiymatni oling.

$$-\frac{2}{5}-\frac{25}{-125}-\frac{125}{\left(-5\right)^{4}}$$

\frac{25}{-125} ulushini 25 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{2}{5}-\left(-\frac{1}{5}\right)-\frac{125}{\left(-5\right)^{4}}$$

-\frac{1}{5} ning teskarisi \frac{1}{5} ga teng.

$$-\frac{2}{5}+\frac{1}{5}-\frac{125}{\left(-5\right)^{4}}$$

-\frac{2}{5} va \frac{1}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-2+1}{5}-\frac{125}{\left(-5\right)^{4}}$$

-1 olish uchun -2 va 1'ni qo'shing.

$$-\frac{1}{5}-\frac{125}{\left(-5\right)^{4}}$$

4 daraja ko‘rsatkichini -5 ga hisoblang va 625 ni qiymatni oling.

$$-\frac{1}{5}-\frac{125}{625}$$

\frac{125}{625} ulushini 125 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

-\frac{1}{5} va \frac{1}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

-2 olish uchun -1 dan 1 ni ayirish.

$$-\frac{2}{5}$$

Omil

$$-\frac{2}{5} = -0,4$$