(2(1-1/2)+[(2)^2]^-3/-frac{3{4}-(-3)+2/5*3/8})=frac{325}{768}=0.4232 eching

$$( \frac { 2 ( 1 - \frac { 1 } { 2 } ) + [ ( 2 ) ^ { 2 } ] ^ { - 3 } } { - \frac { 3 } { 4 } - ( - 3 ) + \frac { 2 } { 5 } \cdot \frac { 3 } { 8 } } ) = \frac { 325 } { 768 } = 0.4232$$

Tasdiqlamoq

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va -3 ni ko‘paytirib, -6 ni oling.

$$\frac{2\left(1-\frac{1}{2}\right)+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

\frac{1}{2} olish uchun 1 dan \frac{1}{2} ni ayirish.

$$\frac{2\times \frac{1}{2}+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

1 hosil qilish uchun 2 va \frac{1}{2} ni ko'paytirish.

$$\frac{1+2^{-6}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

-6 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{64} ni qiymatni oling.

$$\frac{1+\frac{1}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

\frac{65}{64} olish uchun 1 va \frac{1}{64}'ni qo'shing.

$$\frac{\frac{65}{64}}{-\frac{3}{4}-\left(-3\right)+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

-3 ning teskarisi 3 ga teng.

$$\frac{\frac{65}{64}}{-\frac{3}{4}+3+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

\frac{9}{4} olish uchun -\frac{3}{4} va 3'ni qo'shing.

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{2}{5}\times \frac{3}{8}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

\frac{3}{20} hosil qilish uchun \frac{2}{5} va \frac{3}{8} ni ko'paytirish.

$$\frac{\frac{65}{64}}{\frac{9}{4}+\frac{3}{20}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

\frac{12}{5} olish uchun \frac{9}{4} va \frac{3}{20}'ni qo'shing.

$$\frac{\frac{65}{64}}{\frac{12}{5}}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

\frac{65}{64} ni \frac{12}{5} ga bo'lish \frac{65}{64} ga k'paytirish \frac{12}{5} ga qaytarish.

$$\frac{65}{64}\times \frac{5}{12}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

\frac{325}{768} hosil qilish uchun \frac{65}{64} va \frac{5}{12} ni ko'paytirish.

$$\frac{325}{768}=\frac{325}{768}\text{ and }\frac{325}{768}=0,4232$$

\frac{325}{768} va \frac{325}{768} ni taqqoslang.

$$\text{true}\text{ and }\frac{325}{768}=0,4232$$

0,4232 o‘nlik raqamni uning \frac{4232}{10000} kasrga o‘giring. \frac{4232}{10000} ulushini 8 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\text{true}\text{ and }\frac{325}{768}=\frac{529}{1250}$$

768 va 1250 ning eng kichik umumiy karralisi 480000 ga teng. \frac{325}{768} va \frac{529}{1250} ni 480000 maxraj bilan kasrlarga aylantirib oling.

$$\text{true}\text{ and }\frac{203125}{480000}=\frac{203136}{480000}$$

\frac{203125}{480000} va \frac{203136}{480000} ni taqqoslang.

$$\text{true}\text{ and }\text{false}$$

\text{true} va \text{false} birlashmasi \text{false} ga teng.

$$\text{false}$$