(-62/93)^3div(-85/51)^2*(65/52)^3= eching

$$( - \frac { 62 } { 93 } ) ^ { 3 } \div ( - \frac { 85 } { 51 } ) ^ { 2 } \times ( \frac { 65 } { 52 } ) ^ { 3 } =$$

Baholash

$$-\frac{5}{24}\approx -0,208333333$$

Yechim qadamlari

\frac{62}{93} ulushini 31 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\left(-\frac{2}{3}\right)^{3}}{\left(-\frac{85}{51}\right)^{2}}\times \left(\frac{65}{52}\right)^{3}$$

3 daraja ko‘rsatkichini -\frac{2}{3} ga hisoblang va -\frac{8}{27} ni qiymatni oling.

$$\frac{-\frac{8}{27}}{\left(-\frac{85}{51}\right)^{2}}\times \left(\frac{65}{52}\right)^{3}$$

\frac{85}{51} ulushini 17 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{-\frac{8}{27}}{\left(-\frac{5}{3}\right)^{2}}\times \left(\frac{65}{52}\right)^{3}$$

2 daraja ko‘rsatkichini -\frac{5}{3} ga hisoblang va \frac{25}{9} ni qiymatni oling.

$$\frac{-\frac{8}{27}}{\frac{25}{9}}\times \left(\frac{65}{52}\right)^{3}$$

-\frac{8}{27} ni \frac{25}{9} ga bo'lish -\frac{8}{27} ga k'paytirish \frac{25}{9} ga qaytarish.

$$-\frac{8}{27}\times \frac{9}{25}\times \left(\frac{65}{52}\right)^{3}$$

-\frac{8}{75} hosil qilish uchun -\frac{8}{27} va \frac{9}{25} ni ko'paytirish.

$$-\frac{8}{75}\times \left(\frac{65}{52}\right)^{3}$$

\frac{65}{52} ulushini 13 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{8}{75}\times \left(\frac{5}{4}\right)^{3}$$

3 daraja ko‘rsatkichini \frac{5}{4} ga hisoblang va \frac{125}{64} ni qiymatni oling.

$$-\frac{8}{75}\times \frac{125}{64}$$

-\frac{5}{24} hosil qilish uchun -\frac{8}{75} va \frac{125}{64} ni ko'paytirish.

$$-\frac{5}{24}$$

Omil

$$-\frac{5}{24} = -0,20833333333333334$$