(-3/5)^3*(25/9)^2*(-2/3)^2 eching

$$( - \frac { 3 } { 5 } ) ^ { 3 } \times ( \frac { 25 } { 9 } ) ^ { 2 } \times ( - \frac { 2 } { 3 } ) ^ { 2 }$$

Baholash

$$-\frac{20}{27}\approx -0,740740741$$

Yechim qadamlari

3 daraja ko‘rsatkichini -\frac{3}{5} ga hisoblang va -\frac{27}{125} ni qiymatni oling.

$$-\frac{27}{125}\times \left(\frac{25}{9}\right)^{2}\left(-\frac{2}{3}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{25}{9} ga hisoblang va \frac{625}{81} ni qiymatni oling.

$$-\frac{27}{125}\times \frac{625}{81}\left(-\frac{2}{3}\right)^{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{27}{125} ni \frac{625}{81} ga ko‘paytiring.

$$\frac{-27\times 625}{125\times 81}\left(-\frac{2}{3}\right)^{2}$$

\frac{-27\times 625}{125\times 81} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-16875}{10125}\left(-\frac{2}{3}\right)^{2}$$

\frac{-16875}{10125} ulushini 3375 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

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

$$-\frac{5}{3}\times \frac{4}{9}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{5}{3} ni \frac{4}{9} ga ko‘paytiring.

$$\frac{-5\times 4}{3\times 9}$$

\frac{-5\times 4}{3\times 9} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-20}{27}$$

\frac{-20}{27} kasri manfiy belgini olib tashlash bilan -\frac{20}{27} sifatida qayta yozilishi mumkin.

$$-\frac{20}{27}$$

Omil

$$-\frac{20}{27} = -0,7407407407407407$$