[(-4/5)^5*(-4/5)]^2div(-4/5)^3) eching

$$[ ( \frac { - 4 } { 5 } ) ^ { 5 } \times ( \frac { - 4 } { 5 } ) ] ^ { 2 } \div ( \frac { - 4 } { 5 } ) ^ { 3 } )$$

Baholash

$$-\frac{262144}{1953125}=-0,134217728$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 1 ni qo‘shib, 6 ni oling.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va 2 ni ko‘paytirib, 12 ni oling.

$$\frac{\left(\frac{-4}{5}\right)^{12}}{\left(\frac{-4}{5}\right)^{3}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 12 dan 3 ni ayirib, 9 ni oling.

$$\left(\frac{-4}{5}\right)^{9}$$

\frac{-4}{5} kasri manfiy belgini olib tashlash bilan -\frac{4}{5} sifatida qayta yozilishi mumkin.

$$\left(-\frac{4}{5}\right)^{9}$$

9 daraja ko‘rsatkichini -\frac{4}{5} ga hisoblang va -\frac{262144}{1953125} ni qiymatni oling.

$$-\frac{262144}{1953125}$$

Omil

$$-\frac{262144}{1953125} = -0,134217728$$