(62/93)^3+(-85/51)^2*(65/52)^8= eching

$$( \frac { 62 } { 93 } ) ^ { 3 } + ( - \frac { 85 } { 51 } ) ^ { 2 } \times ( \frac { 65 } { 52 } ) ^ { 8 } =$$

Baholash

$$\frac{29821163}{1769472}\approx 16,853142067$$

Yechim qadamlari

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

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

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

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

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

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

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

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

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

$$\frac{8}{27}+\frac{25}{9}\times \left(\frac{5}{4}\right)^{8}$$

8 daraja ko‘rsatkichini \frac{5}{4} ga hisoblang va \frac{390625}{65536} ni qiymatni oling.

$$\frac{8}{27}+\frac{25}{9}\times \frac{390625}{65536}$$

\frac{9765625}{589824} hosil qilish uchun \frac{25}{9} va \frac{390625}{65536} ni ko'paytirish.

$$\frac{8}{27}+\frac{9765625}{589824}$$

\frac{29821163}{1769472} olish uchun \frac{8}{27} va \frac{9765625}{589824}'ni qo'shing.

$$\frac{29821163}{1769472}$$

Omil

$$\frac{31 \cdot 961973}{2 ^ {16} \cdot 3 ^ {3}} = 16\frac{1509611}{1769472} = 16,853142067238135$$