3.6:(51/5-7)+(1/2)^3*0.4^2= eching

$$3.6 : ( 5 \frac { 1 } { 5 } - 7 ) + ( \frac { 1 } { 2 } ) ^ { 3 } \cdot 0.4 ^ { 2 } =$$

Baholash

$$-1,98$$

Yechim qadamlari

25 hosil qilish uchun 5 va 5 ni ko'paytirish.

$$\frac{3,6}{\frac{25+1}{5}-7}+\left(\frac{1}{2}\right)^{3}\times 0,4^{2}$$

26 olish uchun 25 va 1'ni qo'shing.

$$\frac{3,6}{\frac{26}{5}-7}+\left(\frac{1}{2}\right)^{3}\times 0,4^{2}$$

7 ni \frac{35}{5} kasrga o‘giring.

$$\frac{3,6}{\frac{26}{5}-\frac{35}{5}}+\left(\frac{1}{2}\right)^{3}\times 0,4^{2}$$

\frac{26}{5} va \frac{35}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3,6}{\frac{26-35}{5}}+\left(\frac{1}{2}\right)^{3}\times 0,4^{2}$$

-9 olish uchun 26 dan 35 ni ayirish.

$$\frac{3,6}{-\frac{9}{5}}+\left(\frac{1}{2}\right)^{3}\times 0,4^{2}$$

3,6 ni -\frac{9}{5} ga bo'lish 3,6 ga k'paytirish -\frac{9}{5} ga qaytarish.

$$3,6\left(-\frac{5}{9}\right)+\left(\frac{1}{2}\right)^{3}\times 0,4^{2}$$

3,6 o‘nlik raqamni uning \frac{36}{10} kasrga o‘giring. \frac{36}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{18}{5}\left(-\frac{5}{9}\right)+\left(\frac{1}{2}\right)^{3}\times 0,4^{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{18}{5} ni -\frac{5}{9} ga ko‘paytiring.

$$\frac{18\left(-5\right)}{5\times 9}+\left(\frac{1}{2}\right)^{3}\times 0,4^{2}$$

\frac{18\left(-5\right)}{5\times 9} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-90}{45}+\left(\frac{1}{2}\right)^{3}\times 0,4^{2}$$

-2 ni olish uchun -90 ni 45 ga bo‘ling.

$$-2+\left(\frac{1}{2}\right)^{3}\times 0,4^{2}$$

3 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{8} ni qiymatni oling.

$$-2+\frac{1}{8}\times 0,4^{2}$$

2 daraja ko‘rsatkichini 0,4 ga hisoblang va 0,16 ni qiymatni oling.

$$-2+\frac{1}{8}\times 0,16$$

0,16 o‘nlik raqamni uning \frac{16}{100} kasrga o‘giring. \frac{16}{100} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-2+\frac{1}{8}\times \frac{4}{25}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{8} ni \frac{4}{25} ga ko‘paytiring.

$$-2+\frac{1\times 4}{8\times 25}$$

\frac{1\times 4}{8\times 25} kasridagi ko‘paytirishlarni bajaring.

$$-2+\frac{4}{200}$$

\frac{4}{200} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-2+\frac{1}{50}$$

-2 ni -\frac{100}{50} kasrga o‘giring.

$$-\frac{100}{50}+\frac{1}{50}$$

-\frac{100}{50} va \frac{1}{50} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-100+1}{50}$$

-99 olish uchun -100 va 1'ni qo'shing.

$$-\frac{99}{50}$$

Omil

$$-1,98$$