(2/3)^{2}*(-2/3)^{3}*(-2/3)^{4}]^{2}:[-(-2/3)^5]^3+(-frac{2}{3})^3-(frac{2}{7})^4 eching

$$( \frac { 2 } { 3 } ) ^ { 2 } \cdot ( - \frac { 2 } { 3 } ) ^ { 3 } \cdot ( - \frac { 2 } { 3 } ) ^ { 4 } ] ^ { 2 } : [ - ( - \frac { 2 } { 3 } ) ^ { 5 } ] ^ { 3 } + ( - \frac { 2 } { 3 } ) ^ { 3 } - ( \frac { 2 } { 7 } ) ^ { 4 }$$

Baholash

$$-\frac{512}{19683}\approx -0,026012295$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 4 ni qo‘shib, 7 ni oling.

$$\left(\frac{2}{3}\right)^{2}\left(-\frac{2}{3}\right)^{7}$$

2 daraja ko‘rsatkichini \frac{2}{3} ga hisoblang va \frac{4}{9} ni qiymatni oling.

$$\frac{4}{9}\left(-\frac{2}{3}\right)^{7}$$

7 daraja ko‘rsatkichini -\frac{2}{3} ga hisoblang va -\frac{128}{2187} ni qiymatni oling.

$$\frac{4}{9}\left(-\frac{128}{2187}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{9} ni -\frac{128}{2187} ga ko‘paytiring.

$$\frac{4\left(-128\right)}{9\times 2187}$$

\frac{4\left(-128\right)}{9\times 2187} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-512}{19683}$$

\frac{-512}{19683} kasri manfiy belgini olib tashlash bilan -\frac{512}{19683} sifatida qayta yozilishi mumkin.

$$-\frac{512}{19683}$$

Omil

$$-\frac{512}{19683} = -0,02601229487374892$$