(-1/3)^{2}-0.17+3.2*10^11/1.6*10^12*[(7/9)^13]^0*frac{1/5}{1-frac{4}{5}}= eching

$$( - \frac { 1 } { 3 } ) ^ { 2 } - 0.17 + \frac { 3.2 \cdot 10 ^ { 11 } } { 1.6 \cdot 10 ^ { 12 } } \cdot [ ( \frac { 7 } { 9 } ) ^ { 13 } ] ^ { 0 } \cdot \frac { \frac { 1 } { 5 } } { 1 - \frac { 4 } { 5 } } =$$

Baholash

$$\frac{127}{900}\approx 0,141111111$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 13 va 0 ni ko‘paytirib, 0 ni oling.

$$\left(-\frac{1}{3}\right)^{2}-0,17+\frac{3,2\times 10^{11}}{1,6\times 10^{12}}\times \left(\frac{7}{9}\right)^{0}\times \frac{\frac{1}{5}}{1-\frac{4}{5}}$$

2 daraja ko‘rsatkichini -\frac{1}{3} ga hisoblang va \frac{1}{9} ni qiymatni oling.

$$\frac{1}{9}-0,17+\frac{3,2\times 10^{11}}{1,6\times 10^{12}}\times \left(\frac{7}{9}\right)^{0}\times \frac{\frac{1}{5}}{1-\frac{4}{5}}$$

-\frac{53}{900} olish uchun \frac{1}{9} dan 0,17 ni ayirish.

$$-\frac{53}{900}+\frac{3,2\times 10^{11}}{1,6\times 10^{12}}\times \left(\frac{7}{9}\right)^{0}\times \frac{\frac{1}{5}}{1-\frac{4}{5}}$$

Surat va maxrajdagi ikkala 10^{11} ni qisqartiring.

$$-\frac{53}{900}+\frac{3,2}{1,6\times 10}\times \left(\frac{7}{9}\right)^{0}\times \frac{\frac{1}{5}}{1-\frac{4}{5}}$$

16 hosil qilish uchun 1,6 va 10 ni ko'paytirish.

$$-\frac{53}{900}+\frac{3,2}{16}\times \left(\frac{7}{9}\right)^{0}\times \frac{\frac{1}{5}}{1-\frac{4}{5}}$$

\frac{3,2}{16} kasrini uning surat va maxrajini 10 ga ko‘paytirish bilan kengaytiring.

$$-\frac{53}{900}+\frac{32}{160}\times \left(\frac{7}{9}\right)^{0}\times \frac{\frac{1}{5}}{1-\frac{4}{5}}$$

\frac{32}{160} ulushini 32 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{53}{900}+\frac{1}{5}\times \left(\frac{7}{9}\right)^{0}\times \frac{\frac{1}{5}}{1-\frac{4}{5}}$$

0 daraja ko‘rsatkichini \frac{7}{9} ga hisoblang va 1 ni qiymatni oling.

$$-\frac{53}{900}+\frac{1}{5}\times 1\times \frac{\frac{1}{5}}{1-\frac{4}{5}}$$

\frac{1}{5} hosil qilish uchun \frac{1}{5} va 1 ni ko'paytirish.

$$-\frac{53}{900}+\frac{1}{5}\times \frac{\frac{1}{5}}{1-\frac{4}{5}}$$

\frac{1}{5} olish uchun 1 dan \frac{4}{5} ni ayirish.

$$-\frac{53}{900}+\frac{1}{5}\times \frac{\frac{1}{5}}{\frac{1}{5}}$$

1 ni olish uchun \frac{1}{5} ni \frac{1}{5} ga bo‘ling.

$$-\frac{53}{900}+\frac{1}{5}\times 1$$

\frac{1}{5} hosil qilish uchun \frac{1}{5} va 1 ni ko'paytirish.

$$-\frac{53}{900}+\frac{1}{5}$$

\frac{127}{900} olish uchun -\frac{53}{900} va \frac{1}{5}'ni qo'shing.

$$\frac{127}{900}$$

Omil

$$\frac{127}{2 ^ {2} \cdot 3 ^ {2} \cdot 5 ^ {2}} = 0,1411111111111111$$